家計消費とプランク分布
(スロベニア 2020)

不動産宇宙と固定為替相場(解説1)
住宅家賃とマクスウェル分布(解説2)
家計消費とプランク分布
国 2020 | 都市 2020

 消費品目分布の理論値(青線)は、プランク分布を変数(大人1人あたりの年間消費金額) E で割ったもの(プランク度数分布) E 2 e E k T - 1 に比例する。ただし、 E の単位は ukT である。(消費品目分布のピークを1単位目と2単位目のあいだに置くため、 u は0.8から1.59の範囲にある。また、消費品目分布のフィッティングは1単位目から3単位目までに着目する。)為替指数(物価指数にある定数 aをかけたもの)は、1単位目から3単位目までの消費品目数の総和とフィッティングで得た kT の積を観測データ(これは u の自由度だけ存在する)とする反復最小二乗法(為替指数との比が最小になる観測データを選んでから最小二乗法により新たな aを求める手続きの反復)から求まる。 kT を普遍的な値とすると、現地通貨建ての kT が小さいほどその現地通貨が高くなる。ただし、現地通貨建ての kT は消費品目数の影響を受けるので、その影響を排除したもの(為替指数)を考える必要がある。したがって、為替指数の比が固定為替相場である。なお、物価指数と為替指数の比 aの値は生活レベル(1人あたりの米ドル建て消費支出)を測定する年ごとに決まる。(未来への投資は今の生活レベルを下げるので、物価指数と為替指数の比 aが更新されるとき、投資の過不足分が過去の生活レベルに加算される。)また、消費品目分布の観測値(赤線)と物価指数は以下のページにもとづく。
https://www.stat.si/
https://www.imf.org/
スロベニアの生活レベル
2020年

※左=物価指数と為替指数の比aの初期値
※中央=反復最小二乗法から求まるaの不動点
※右=生活レベル(米ドル建て1人あたり(NPISHs控除前)家計最終消費支出)の候補
※太字は住宅家賃分布(マクスウェル分布)にもとづく確定値

100,340,22224
200,340,22224
300,340,22224
400,350,21589
500,440,17173
600,580,13027
700,1450,5211
800,1450,5211
900,1450,5211
1000,1450,5211
1100,1450,5211
1200,1450,5211
1300,1450,5211
1400,1450,5211
1500,1490,5071
1600,1530,4938
1700,1530,4938
1800,1530,4938
1900,1530,4938
2000,1530,4938
2100,1530,4938
2200,1530,4938
2300,1530,4938
2400,1530,4938
2500,1530,4938
2600,1530,4938
2700,1530,4938
2800,1530,4938
2900,1530,4938
3000,1530,4938
3100,1530,4938
3200,1530,4938
3300,1530,4938
3400,1530,4938
3500,1530,4938
3600,1530,4938
3700,1530,4938
3800,1530,4938
3900,1530,4938
4000,1530,4938
4100,1530,4938
4200,1530,4938
4300,1530,4938
4400,1530,4938
4500,1530,4938
4600,1530,4938
4700,1530,4938
4800,1530,4938
4900,1530,4938
5000,1530,4938

スロベニアの消費品目分布
2018年
u=1.58, kT=4830

スロベニアの消費品目
2018年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000448,Postal services
000000812,Education not definable by level
000001417,Glassware tableware and household utensils
000001540,Secondary education
000002457,Household textiles
000002535,Tertiary education
000003667,Social protection
000003945,Personal effects n.e.c.
000004048,Telephone and telefax equipment
000004294,Other major durables for recreation and culture
000004335,Pre-primary and primary education
000004543,Other services n.e.c.
000005337,Transport services
000005729,Tools and equipment for house and garden
000005784,Financial services n.e.c.
000006178,Audiovisual photographic and information processing equipment
000007866,TOBACCO
000009318,ALCOHOLIC BEVERAGES
000010559,Household appliances
000011434,Maintenance and repair of the dwelling
000011583,Newspapers books and stationery
000012199,Out-patient services
000012668,Goods and services for routine household maintenance
000012707,NON-ALCOHOLIC BEVERAGES
000014882,Accommodation services
000014976,Medical products appliances and equipment
000016822,Package holidays
000017741,FOOTWEAR
000018737,Actual rentals for housing
000022222,Furniture and furnishings carpets and other floor coverings
000022884,Other recreational items and equipment gardens and pets
000023431,Other expenditure
000024234,Personal care
000025250,Recreational and cultural services
000030795,Water supply and miscellaneous services relating to the dwelling
000045296,Telephone and telefax services
000046719,CLOTHING
000048683,Catering services
000064809,Expenditure for a dwelling house - major works and renovations
000065206,Insurance
000073134,Electricity gas and other fuels
000084374,Purchase of vehicles
000115333,Operation of personal transport equipment
000125344,FOOD

スロベニアの消費品目分布
2015年
u=1.52, kT=4450

スロベニアの消費品目
2015年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000334,Postal services
000000475,Education not definable by level
000001127,Glassware tableware and household utensils
000001160,Secondary education
000001712,Household textiles
000002526,Tertiary education
000002645,Telephone and telefax equipment
000002832,Personal effects n.e.c.
000002878,Other major durables for recreation and culture
000002880,Social protection
000003732,Transport services
000004186,Pre-primary and primary education
000004540,Other services n.e.c.
000004599,Tools and equipment for house and garden
000005532,Financial services n.e.c.
000005661,Audiovisual photographic and information processing equipment
000007380,Maintenance and repair of the dwelling
000007668,Household appliances
000007870,TOBACCO
000008171,Out-patient services
000009095,ALCOHOLIC BEVERAGES
000010331,Goods and services for routine household maintenance
000010757,Accommodation services
000010844,Package holidays
000010867,Newspapers books and stationery
000011562,NON-ALCOHOLIC BEVERAGES
000011646,Medical products appliances and equipment
000014350,Actual rentals for housing
000014604,FOOTWEAR
000014797,Furniture and furnishings carpets and other floor coverings
000017205,Other recreational items and equipment gardens and pets
000020292,Other expenditure
000021152,Recreational and cultural services
000021453,Personal care
000026039,Water supply and miscellaneous services relating to the dwelling
000035591,Catering services
000039624,CLOTHING
000043294,Telephone and telefax services
000057577,Purchase of vehicles
000059235,Insurance
000071926,Electricity gas and other fuels
000080906,Expenditure for a dwelling house - major works and renovations
000107178,Operation of personal transport equipment
000113425,FOOD

スロベニアの消費品目分布
2012年
u=1.5, kT=4490

スロベニアの消費品目
2012年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000132,Postal services
000000605,Education not definable by level
000000634,Secondary education
000000980,Telephone and telefax equipment
000001283,Glassware tableware and household utensils
000001750,Household textiles
000002413,Social protection
000002885,Personal effects n.e.c.
000003150,Tertiary education
000004001,Tools and equipment for house and garden
000004007,Other major durables for recreation and culture
000004133,Pre-primary and primary education
000004310,Other services n.e.c.
000005012,Transport services
000005768,Financial services n.e.c.
000006897,Audiovisual photographic and information processing equipment
000007419,Out-patient services
000007894,Household appliances
000008356,TOBACCO
000008802,Accommodation services
000008816,ALCOHOLIC BEVERAGES
000009301,Maintenance and repair of the dwelling
000011889,Goods and services for routine household maintenance
000012798,Newspapers books and stationery
000013001,Actual rentals for housing
000013445,NON-ALCOHOLIC BEVERAGES
000013569,FOOTWEAR
000013891,Medical products appliances and equipment
000016399,Other recreational items and equipment gardens and pets
000016514,Personal care
000016823,Furniture and furnishings carpets and other floor coverings
000020366,Recreational and cultural services
000020413,Catering services
000020642,Package holidays
000024475,Other expenditure
000024814,Water supply and miscellaneous services relating to the dwelling
000040578,CLOTHING
000044787,Telephone and telefax services
000050635,Purchase of vehicles
000060788,Insurance
000079276,Electricity gas and other fuels
000093662,Expenditure for a dwelling house - major works and renovations
000100334,Operation of personal transport equipment
000119025,FOOD

スロベニアの消費品目分布
2009年
u=1.52, kT=4170

スロベニアの消費品目
2009年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000173,Hospital services
000000223,Secondary education
000000362,Postal services
000000900,Education not definable by level
000001102,Telephone and telefax equipment
000001950,Social protection
000002515,Tertiary education
000002649,Financial services n.e.c.
000002844,Other major durables for recreation and culture
000002911,Tools and equipment for house and garden
000003330,Glassware tableware and household utensils
000003438,Personal effects n.e.c.
000003880,Pre-primary and primary education
000003895,Household textiles
000005758,Transport services
000006876,Other services n.e.c.
000007836,ALCOHOLIC BEVERAGES
000008210,Out-patient services
000009471,TOBACCO
000009840,Audiovisual photographic and information processing equipment
000009927,Accommodation services
000010831,Newspapers books and stationery
000010869,Household appliances
000011120,Maintenance and repair of the dwelling
000011543,Medical products appliances and equipment
000011566,Actual rentals for housing
000012694,NON-ALCOHOLIC BEVERAGES
000015213,FOOTWEAR
000016106,Goods and services for routine household maintenance
000018320,Other recreational items and equipment gardens and pets
000018977,Personal care
000021848,Recreational and cultural services
000022576,Water supply and miscellaneous services relating to the dwelling
000023978,Catering services
000024549,Package holidays
000026427,Furniture and furnishings carpets and other floor coverings
000041001,Telephone and telefax services
000044715,Other expenditure
000047451,CLOTHING
000060144,Insurance
000064750,Electricity gas and other fuels
000065733,Operation of personal transport equipment
000066454,Purchase of vehicles
000106762,Expenditure for a dwelling house - major works and renovations
000117767,FOOD

スロベニアの消費品目分布
2008年
u=1.59, kT=4440

スロベニアの消費品目
2008年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000141,Hospital services
000000180,Secondary education
000000250,Postal services
000000918,Education not definable by level
000001182,Telephone and telefax equipment
000002002,Social protection
000002499,Financial services n.e.c.
000002792,Tools and equipment for house and garden
000002965,Tertiary education
000003118,Other major durables for recreation and culture
000003504,Glassware tableware and household utensils
000003615,Personal effects n.e.c.
000003760,Pre-primary and primary education
000003960,Household textiles
000005721,Transport services
000006809,Other services n.e.c.
000007116,Out-patient services
000008171,ALCOHOLIC BEVERAGES
000008697,Accommodation services
000009400,Actual rentals for housing
000009485,Audiovisual photographic and information processing equipment
000010530,Newspapers books and stationery
000010826,Medical products appliances and equipment
000010955,Household appliances
000011013,Maintenance and repair of the dwelling
000011264,TOBACCO
000012886,NON-ALCOHOLIC BEVERAGES
000016003,FOOTWEAR
000016542,Goods and services for routine household maintenance
000018419,Other recreational items and equipment gardens and pets
000019955,Personal care
000021144,Recreational and cultural services
000021973,Water supply and miscellaneous services relating to the dwelling
000025891,Furniture and furnishings carpets and other floor coverings
000025911,Catering services
000026195,Package holidays
000040904,Telephone and telefax services
000043893,Other expenditure
000051390,CLOTHING
000058278,Insurance
000063262,Electricity gas and other fuels
000066348,Operation of personal transport equipment
000068467,Purchase of vehicles
000108678,Expenditure for a dwelling house - major works and renovations
000120787,FOOD

スロベニアの消費品目分布
2007年
u=1.56, kT=3950

スロベニアの消費品目
2007年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000142,Secondary education
000000167,Hospital services
000000229,Postal services
000001038,Education not definable by level
000001093,Telephone and telefax equipment
000001641,Social protection
000001886,Other major durables for recreation and culture
000002195,Financial services n.e.c.
000002340,Tertiary education
000002525,Tools and equipment for house and garden
000002912,Personal effects n.e.c.
000003162,Glassware tableware and household utensils
000003477,Pre-primary and primary education
000003602,Household textiles
000005015,Transport services
000005334,Out-patient services
000006447,Other services n.e.c.
000006713,Accommodation services
000007038,ALCOHOLIC BEVERAGES
000007669,Actual rentals for housing
000008196,Audiovisual photographic and information processing equipment
000008499,Medical products appliances and equipment
000009258,Maintenance and repair of the dwelling
000010010,Newspapers books and stationery
000010075,Household appliances
000011190,TOBACCO
000011754,NON-ALCOHOLIC BEVERAGES
000013647,FOOTWEAR
000014169,Goods and services for routine household maintenance
000016777,Other recreational items and equipment gardens and pets
000017629,Personal care
000018449,Recreational and cultural services
000020041,Water supply and miscellaneous services relating to the dwelling
000021907,Package holidays
000023058,Catering services
000023409,Furniture and furnishings carpets and other floor coverings
000037174,Telephone and telefax services
000038963,Other expenditure
000045614,CLOTHING
000052612,Insurance
000056477,Electricity gas and other fuels
000062360,Operation of personal transport equipment
000064657,Purchase of vehicles
000094063,Expenditure for a dwelling house - major works and renovations
000108562,FOOD

スロベニアの消費品目分布
2006年
u=1.55, kT=3790

スロベニアの消費品目
2006年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000149,Hospital services
000000220,Secondary education
000000276,Postal services
000001123,Telephone and telefax equipment
000001204,Education not definable by level
000001482,Social protection
000001549,Other major durables for recreation and culture
000002107,Financial services n.e.c.
000002245,Tools and equipment for house and garden
000002727,Tertiary education
000002813,Glassware tableware and household utensils
000003462,Personal effects n.e.c.
000003473,Pre-primary and primary education
000003682,Household textiles
000004807,Out-patient services
000005360,Transport services
000006206,Other services n.e.c.
000006709,Accommodation services
000006745,ALCOHOLIC BEVERAGES
000007071,Actual rentals for housing
000007487,Medical products appliances and equipment
000008037,Audiovisual photographic and information processing equipment
000008838,Maintenance and repair of the dwelling
000009987,Newspapers books and stationery
000010115,Household appliances
000011053,TOBACCO
000011270,NON-ALCOHOLIC BEVERAGES
000012517,FOOTWEAR
000013434,Goods and services for routine household maintenance
000016806,Other recreational items and equipment gardens and pets
000017325,Personal care
000017606,Recreational and cultural services
000018865,Water supply and miscellaneous services relating to the dwelling
000020793,Package holidays
000020869,Furniture and furnishings carpets and other floor coverings
000022057,Catering services
000034975,Other expenditure
000035277,Telephone and telefax services
000043480,CLOTHING
000049144,Insurance
000052538,Electricity gas and other fuels
000060443,Operation of personal transport equipment
000065624,Purchase of vehicles
000088421,Expenditure for a dwelling house - major works and renovations
000105067,FOOD

スロベニアの消費品目分布
2005年
u=1.59, kT=3740

スロベニアの消費品目
2005年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000095,Hospital services
000000292,Secondary education
000000293,Postal services
000001053,Other major durables for recreation and culture
000001126,Social protection
000001129,Telephone and telefax equipment
000001326,Education not definable by level
000001971,Tools and equipment for house and garden
000001979,Financial services n.e.c.
000002378,Tertiary education
000002562,Glassware tableware and household utensils
000003127,Pre-primary and primary education
000003315,Household textiles
000003408,Personal effects n.e.c.
000004741,Out-patient services
000005417,Transport services
000005773,Other services n.e.c.
000006289,ALCOHOLIC BEVERAGES
000006663,Actual rentals for housing
000006770,Medical products appliances and equipment
000007602,Audiovisual photographic and information processing equipment
000008261,Accommodation services
000008672,Maintenance and repair of the dwelling
000009727,Household appliances
000010241,TOBACCO
000010470,Newspapers books and stationery
000010883,NON-ALCOHOLIC BEVERAGES
000011870,FOOTWEAR
000012576,Goods and services for routine household maintenance
000016496,Other recreational items and equipment gardens and pets
000016798,Personal care
000017542,Water supply and miscellaneous services relating to the dwelling
000017620,Recreational and cultural services
000019375,Furniture and furnishings carpets and other floor coverings
000020917,Package holidays
000023549,Catering services
000028498,Other expenditure
000032640,Telephone and telefax services
000042774,CLOTHING
000046091,Insurance
000049808,Electricity gas and other fuels
000059720,Operation of personal transport equipment
000065328,Purchase of vehicles
000074372,Expenditure for a dwelling house - major works and renovations
000102451,FOOD

スロベニアの消費品目分布
2004年
u=1.49, kT=3620

スロベニアの消費品目
2004年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000015,Narcotics
000000059,Hospital services
000000298,Postal services
000000363,Secondary education
000000899,Social protection
000001080,Other major durables for recreation and culture
000001086,Telephone and telefax equipment
000001334,Education not definable by level
000001583,Tools and equipment for house and garden
000001817,Financial services n.e.c.
000001989,Tertiary education
000002521,Glassware tableware and household utensils
000002902,Pre-primary and primary education
000002973,Household textiles
000003937,Personal effects n.e.c.
000005008,Out-patient services
000005453,Other services n.e.c.
000005889,Transport services
000005990,Actual rentals for housing
000006187,ALCOHOLIC BEVERAGES
000006548,Medical products appliances and equipment
000007312,Audiovisual photographic and information processing equipment
000008154,Maintenance and repair of the dwelling
000008270,Accommodation services
000009094,Household appliances
000009617,TOBACCO
000010705,Newspapers books and stationery
000011097,NON-ALCOHOLIC BEVERAGES
000011833,FOOTWEAR
000012541,Goods and services for routine household maintenance
000015472,Other recreational items and equipment gardens and pets
000016138,Water supply and miscellaneous services relating to the dwelling
000016639,Furniture and furnishings carpets and other floor coverings
000016949,Personal care
000017450,Recreational and cultural services
000020910,Package holidays
000025528,Catering services
000026712,Other expenditure
000029642,Telephone and telefax services
000042941,CLOTHING
000043422,Insurance
000046936,Electricity gas and other fuels
000056440,Operation of personal transport equipment
000059033,Purchase of vehicles
000065342,Expenditure for a dwelling house - major works and renovations
000102499,FOOD

スロベニアの消費品目分布
2002年
u=1.32, kT=3300

スロベニアの消費品目
2002年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000013,Narcotics
000000035,Hospital services
000000187,Secondary education
000000249,Postal services
000000783,Social protection
000001057,Tools and equipment for house and garden
000001211,Telephone and telefax equipment
000001281,Financial services n.e.c.
000001427,Tertiary education
000001491,Education not definable by level
000001564,Other major durables for recreation and culture
000002349,Household textiles
000002444,Glassware tableware and household utensils
000002556,Pre-primary and primary education
000003659,Personal effects n.e.c.
000004369,Out-patient services
000004505,Actual rentals for housing
000004971,Other services n.e.c.
000005588,ALCOHOLIC BEVERAGES
000005604,Accommodation services
000005824,Audiovisual photographic and information processing equipment
000006014,Medical products appliances and equipment
000006136,Transport services
000006425,TOBACCO
000006722,Maintenance and repair of the dwelling
000007576,Household appliances
000009760,Newspapers books and stationery
000010895,NON-ALCOHOLIC BEVERAGES
000010961,FOOTWEAR
000012182,Goods and services for routine household maintenance
000012614,Water supply and miscellaneous services relating to the dwelling
000013055,Other recreational items and equipment gardens and pets
000014316,Furniture and furnishings carpets and other floor coverings
000014474,Package holidays
000015128,Recreational and cultural services
000016087,Personal care
000020083,Other expenditure
000022960,Telephone and telefax services
000028525,Catering services
000034130,Purchase of vehicles
000035724,Insurance
000038910,CLOTHING
000041740,Electricity gas and other fuels
000045955,Expenditure for a dwelling house - major works and renovations
000049064,Operation of personal transport equipment
000098375,FOOD

スロベニアの消費品目分布
2000年
u=1.12, kT=3050

スロベニアの消費品目
2000年

※左=大人1人あたりの年間消費金額(0.01ユーロ)
※右=消費品目

000000037,Hospital services
000000151,Secondary education
000000216,Postal services
000000629,Social protection
000000939,Financial services n.e.c.
000000956,Tertiary education
000000996,Education not definable by level
000001009,Tools and equipment for house and garden
000001031,Telephone and telefax equipment
000001288,Other major durables for recreation and culture
000002272,Pre-primary and primary education
000002348,Household textiles
000002822,Glassware tableware and household utensils
000003451,Personal effects n.e.c.
000003616,Actual rentals for housing
000003837,Out-patient services
000004224,Other services n.e.c.
000004734,Accommodation services
000004914,TOBACCO
000004989,Medical products appliances and equipment
000005313,ALCOHOLIC BEVERAGES
000005349,Transport services
000005404,Package holidays
000005753,Audiovisual photographic and information processing equipment
000006176,Maintenance and repair of the dwelling
000007059,Household appliances
000008849,Newspapers books and stationery
000009109,Water supply and miscellaneous services relating to the dwelling
000009699,FOOTWEAR
000010226,NON-ALCOHOLIC BEVERAGES
000010953,Goods and services for routine household maintenance
000011632,Other recreational items and equipment gardens and pets
000012491,Furniture and furnishings carpets and other floor coverings
000012751,Recreational and cultural services
000014062,Telephone and telefax services
000015462,Other expenditure
000015518,Personal care
000023292,Catering services
000027552,Insurance
000033954,CLOTHING
000035037,Electricity gas and other fuels
000038603,Expenditure for a dwelling house - major works and renovations
000039650,Purchase of vehicles
000041177,Operation of personal transport equipment
000087320,FOOD



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