家計消費とプランク分布
(ギリシャ 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.statistics.gr/
https://www.imf.org/
ギリシャの生活レベル
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

100,1230,5256
200,1230,5256
300,1230,5256
400,1230,5256
500,1230,5256
600,1230,5256
700,1230,5256
800,1230,5256
900,1230,5256
1000,1230,5256
1100,1230,5256
1200,1230,5256
1300,1230,5256
1400,1540,4198
1500,1540,4198
1600,1570,4118
1700,1570,4118
1800,1570,4118
1900,1570,4118
2000,1570,4118
2100,1570,4118
2200,1570,4118
2300,1570,4118
2400,1570,4118
2500,1570,4118
2600,1570,4118
2700,1570,4118
2800,1570,4118
2900,1570,4118
3000,1570,4118
3100,1570,4118
3200,1570,4118
3300,1570,4118
3400,1570,4118
3500,1570,4118
3600,1570,4118
3700,1570,4118
3800,1570,4118
3900,1570,4118
4000,1570,4118
4100,1570,4118
4200,1570,4118
4300,1570,4118
4400,1570,4118
4500,1570,4118
4600,1570,4118
4700,1570,4118
4800,1570,4118
4900,1570,4118
5000,1570,4118

ギリシャの消費品目分布
2012年
u=1.25, kT=4840

ギリシャの消費品目
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

000000223,TELEPHONE AND TELEFAX EQUIPMENT
000000346,COMMUNICATION
000000999,FINANCIAL SERVICES
000001116,MUNICIPAL OR COMMUNAL TAX
000001735,POST SECONDARY NO TERTIARY EDUCATION
000001769,SOCIAL PROTECTION
000002031,TERTIARY EDUCATION
000002087,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000002533,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000002958,PACKAGE HOLIDAYS
000003298,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000004035,EDUCATION NOT DEFINABLE BY LEVEL
000004465,OTHER SERVICES
000006524,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000006541,PERSONAL EFFECTS
000006686,ACCOMMODATION SERVICES
000006753,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000006987,OTHER RECREATIONAL ITEMS AND EQUIPMENT GARDENS AND PETS
000007166,HOUSEHOLD TEXTILES
000007356,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000007613,PRE- PRIMARY AND PRIMARY EDUCATION
000008048,MAINTENANCE AND REPAIR OF THE DWELLING
000008059,NEWSPAPERS BOOKS AND STATIONERY
000009471,NON-ALCOHOLIC BEVERAGES
000010146,ALCOHOLIC BEVERAGES
000012457,FOOTWEAR
000012775,RECREATIONAL AND CULTURAL SERVICES
000013200,TRANSPORT SERVICES
000015996,HOSPITAL SERVICES
000016582,SECONDARY EDUCATION
000018150,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000021426,TRANSFERS
000021862,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000023028,INSURANCE
000023804,PURCHASE OF VEHICLES
000024301,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000024853,TOBACCO
000027175,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000028280,PERSONAL CARE
000032612,ACTUAL RENTALS FOR HOUSING
000037484,TELEPHONE AND TELEFAX SERVICES
000040755,CLOTHING
000063092,ELECTRICITY GAS AND OTHER FUELS
000080137,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000082878,CATERING SERVICES
000173916,FOOD

ギリシャの消費品目分布
2011年
u=0.99, kT=5100

ギリシャの消費品目
2011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

000000223,TELEPHONE AND TELEFAX EQUIPMENT
000000424,COMMUNICATION
000000859,MUNICIPAL OR COMMUNAL TAX
000001434,TERTIARY EDUCATION
000001451,FINANCIAL SERVICES
000001601,SOCIAL PROTECTION
000001981,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000002299,POST SECONDARY NO TERTIARY EDUCATION
000002773,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000003304,PACKAGE HOLIDAYS
000003940,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000004649,EDUCATION NOT DEFINABLE BY LEVEL
000006385,OTHER SERVICES
000007200,ACCOMMODATION SERVICES
000007412,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000007646,PERSONAL EFFECTS
000007668,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000008383,OTHER RECREATIONAL ITEMS AND EQUIPMENT GARDENS AND PETS
000008617,PRE- PRIMARY AND PRIMARY EDUCATION
000008762,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000008941,HOUSEHOLD TEXTILES
000009957,ALCOHOLIC BEVERAGES
000010431,MAINTENANCE AND REPAIR OF THE DWELLING
000010615,NEWSPAPERS BOOKS AND STATIONERY
000011464,NON-ALCOHOLIC BEVERAGES
000014573,TRANSPORT SERVICES
000014880,HOSPITAL SERVICES
000015053,FOOTWEAR
000015092,RECREATIONAL AND CULTURAL SERVICES
000017213,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000018563,SECONDARY EDUCATION
000022414,TRANSFERS
000022453,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000025311,INSURANCE
000027170,TOBACCO
000029737,PURCHASE OF VEHICLES
000030385,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000031864,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000037261,PERSONAL CARE
000037707,ACTUAL RENTALS FOR HOUSING
000040476,TELEPHONE AND TELEFAX SERVICES
000047743,CLOTHING
000057002,ELECTRICITY GAS AND OTHER FUELS
000089670,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000098349,CATERING SERVICES
000186703,FOOD

ギリシャの消費品目分布
2010年
u=1.01, kT=5180

ギリシャの消費品目
2010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

000000267,TELEPHONE AND TELEFAX EQUIPMENT
000000424,COMMUNICATION
000000859,MUNICIPAL OR COMMUNAL TAX
000000943,FINANCIAL SERVICES
000001479,TERTIARY EDUCATION
000001707,SOCIAL PROTECTION
000002014,POST SECONDARY NO TERTIARY EDUCATION
000002182,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000003359,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000004119,PACKAGE HOLIDAYS
000004431,EDUCATION NOT DEFINABLE BY LEVEL
000005503,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000006452,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000007445,OTHER SERVICES
000007629,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000008539,ACCOMMODATION SERVICES
000008913,PERSONAL EFFECTS
000009097,ALCOHOLIC BEVERAGES
000009611,PRE- PRIMARY AND PRIMARY EDUCATION
000010046,OTHER RECREATIONAL ITEMS AND EQUIPMENT GARDENS AND PETS
000010297,HOUSEHOLD TEXTILES
000011637,NEWSPAPERS BOOKS AND STATIONERY
000011642,NON-ALCOHOLIC BEVERAGES
000011737,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000011888,MAINTENANCE AND REPAIR OF THE DWELLING
000013897,HOSPITAL SERVICES
000015505,RECREATIONAL AND CULTURAL SERVICES
000015678,TRANSPORT SERVICES
000016894,FOOTWEAR
000017988,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000018306,SECONDARY EDUCATION
000021326,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000025657,TRANSFERS
000027092,INSURANCE
000029240,TOBACCO
000035475,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000037562,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000040922,ACTUAL RENTALS FOR HOUSING
000041319,PERSONAL CARE
000043093,TELEPHONE AND TELEFAX SERVICES
000046839,PURCHASE OF VEHICLES
000052716,ELECTRICITY GAS AND OTHER FUELS
000061713,CLOTHING
000085317,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000108524,CATERING SERVICES
000184638,FOOD

ギリシャの消費品目分布
2009年
u=1.04, kT=5100

ギリシャの消費品目
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

000000323,COMMUNICATION
000000351,TELEPHONE AND TELEFAX EQUIPMENT
000000452,FINANCIAL SERVICES
000000837,MUNICIPAL OR COMMUNAL TAX
000001306,SOCIAL PROTECTION
000001373,POST SECONDARY NO TERTIARY EDUCATION
000002003,TERTIARY EDUCATION
000002137,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000003588,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000004124,EDUCATION NOT DEFINABLE BY LEVEL
000005436,PACKAGE HOLIDAYS
000005949,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000006876,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000007702,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000008366,ACCOMMODATION SERVICES
000008589,OTHER SERVICES
000008679,ALCOHOLIC BEVERAGES
000009270,PERSONAL EFFECTS
000009538,PRE- PRIMARY AND PRIMARY EDUCATION
000010269,OTHER RECREATIONAL ITEMS AND EQUIPMENT GARDENS AND PETS
000011335,HOUSEHOLD TEXTILES
000011838,NON-ALCOHOLIC BEVERAGES
000013144,HOSPITAL SERVICES
000013892,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000014249,NEWSPAPERS BOOKS AND STATIONERY
000015499,RECREATIONAL AND CULTURAL SERVICES
000015862,TRANSPORT SERVICES
000017101,MAINTENANCE AND REPAIR OF THE DWELLING
000017441,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000018664,FOOTWEAR
000020249,SECONDARY EDUCATION
000021142,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000028297,TRANSFERS
000029134,INSURANCE
000029626,TOBACCO
000036457,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000038628,ACTUAL RENTALS FOR HOUSING
000041665,PERSONAL CARE
000044360,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000049350,TELEPHONE AND TELEFAX SERVICES
000051840,ELECTRICITY GAS AND OTHER FUELS
000052554,PURCHASE OF VEHICLES
000072223,CLOTHING
000084720,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000118984,CATERING SERVICES
000187188,FOOD

ギリシャの消費品目分布
2008年
u=1.23, kT=4700

ギリシャの消費品目
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

000000323,TELEPHONE AND TELEFAX EQUIPMENT
000000340,COMMUNICATION
000000535,FINANCIAL SERVICES
000000831,MUNICIPAL OR COMMUNAL TAX
000001105,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000001233,SOCIAL PROTECTION
000001395,TERTIARY EDUCATION
000001579,POST SECONDARY NO TERTIARY EDUCATION
000002226,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000004230,EDUCATION NOT DEFINABLE BY LEVEL
000005441,PACKAGE HOLIDAYS
000007250,ACCOMMODATION SERVICES
000007668,ALCOHOLIC BEVERAGES
000008388,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000008416,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000008963,PRE- PRIMARY AND PRIMARY EDUCATION
000009382,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000009683,OTHER SERVICES
000009756,OTHER RECREATIONAL ITEMS AND EQUIPMENT GARDENS AND PETS
000010772,PERSONAL EFFECTS
000011547,NON-ALCOHOLIC BEVERAGES
000012022,HOSPITAL SERVICES
000012223,HOUSEHOLD TEXTILES
000015209,RECREATIONAL AND CULTURAL SERVICES
000015627,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000016861,TRANSPORT SERVICES
000017028,NEWSPAPERS BOOKS AND STATIONERY
000018429,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000020003,SECONDARY EDUCATION
000020466,MAINTENANCE AND REPAIR OF THE DWELLING
000022660,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000023173,FOOTWEAR
000027823,INSURANCE
000027934,TRANSFERS
000030502,TOBACCO
000035564,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000038014,ACTUAL RENTALS FOR HOUSING
000040604,PERSONAL CARE
000048859,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000051823,TELEPHONE AND TELEFAX SERVICES
000054809,PURCHASE OF VEHICLES
000057315,ELECTRICITY GAS AND OTHER FUELS
000074076,CLOTHING
000086483,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000121004,CATERING SERVICES
000182349,FOOD

ギリシャの消費品目分布
2004年
u=1.16, kT=4440

ギリシャの消費品目
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

000000223,COMMUNICATION
000000245,TELEPHONE AND TELEFAX EQUIPMENT
000000306,FINANCIAL SERVICES
000000480,OTHER MAJOR DURABLES FOR RECREATION AND CULTURE REPAIRS
000000586,MUNICIPAL OR COMMUNAL TAX
000001138,TERTIARY EDUCATION
000001255,SOCIAL PROTECTION
000001495,TOOLS AND EQUIPMENT FOR HOUSE AND GARDEN
000001512,POST SECONDARY NO TERTIARY EDUCATION
000002790,PACKAGE HOLIDAYS
000003320,EDUCATION NOT DEFINABLE BY LEVEL
000005207,ACCOMMODATION SERVICES
000006915,ALCOHOLIC BEVERAGES
000007010,PRE- PRIMARY AND PRIMARY EDUCATION
000007356,PERSONAL EFFECTS N.E.C.
000007741,AUDIO-VISUAL PHOTOGRAPHIC AND INFORMATION PROCESSING EQUIPMENT
000008656,GLASSWARE TABLEWARE AND HOUSEHOLD UTENSILS
000009622,HOUSEHOLD APPLIANCES AND REPAIR OF HOUSEHOLD APPLIANCES
000009756,Non-alcoholic beverages
000010219,OTHER SERVICES N.E.C.
000010292,HOSPITAL SERVICES
000010727,OTHER DURABLES FOR RECREATION AND EQUIPMENT-GARDENS AND PETS
000011944,FURNITURE CARPETS LIGHTINGS AND DECORATIVE ITEMS
000012792,HOUSEHOLD TEXTILES
000013680,TRANSPORT SERVICES
000014037,RECREATIONAL AND CULTURAL SERVICES
000014254,MEDICINES MEDICAL PRODUCTS THERAPEUTIC APPLIANCES AND EQUIPMENT
000014517,NEWSPAPERS BOOKS AND STATIONERY
000015678,SECONDARY EDUCATION
000018217,WATER SUPPLY AND MISCELLANEOUS SERVICES RELATING TO THE DWELLING
000018731,MAINTENANCE AND REPAIR OF THE DWELLING
000021108,FOOTWEAR
000022738,INSURANCE
000030552,GOODS AND SERVICES FOR ROUTINE HOUSEHOLD MAINTENANCE
000031121,PERSONAL CARE
000032723,TRANSFERS
000032980,ACTUAL RENTALS FOR HOUSING
000033002,TOBACCO
000036424,ELECTRICITY GAS AND OTHER FUELS
000044712,TELEPHONE AND TELEFAX SERVICES
000046989,SERVICES OF DOCTORS OF EACH SPECIALITY (EXCEPT HOSPITAL)
000048848,PURCHASE OF VEHICLES
000062695,CLOTHING
000063521,OPERATION OF PERSONAL TRANSPORT EQUIPMENT
000090926,CATERING SERVICES
000161280,Food



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