Glossary entry

English term or phrase:

posterior predictive distribution

Russian translation:

полное прогнозируемое распределение

Added to glossary by DLyons
Jan 6, 2015 08:49
9 yrs ago
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English term

posterior predictive distribution

English to Russian Science Mathematics & Statistics
In statistics, and especially Bayesian statistics, the *posterior predictive distribution* is the distribution of unobserved observations (prediction) conditional on the observed data.[1] Described as the distribution that a new i.i.d. data point tilde{x} would have, given a set of N existing i.i.d. observations mathbf{X} = {x_1, dots, x_N} . In a frequentist context, this might be derived by computing the maximum likelihood estimate (or some other estimate) of the parameter(s) given the observed data, and then plugging them into the distribution function of the new observations.
Change log

Jan 11, 2015 12:58: DLyons Created KOG entry

Proposed translations

2 hrs
Selected

прогнозируемое распределение

"posterior" is often omitted here e.g. in Temnov and Kucherenko "Подход к актуарному моделированию на основе применения метода квази-Монте-Карло для случайных сумм, зависящих от стохастических факторов"

Unfortunately, I can only find an English version of the paper - there may not be a Russian translation.



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Note added at 2 hrs (2015-01-06 11:20:43 GMT)
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One could always spell it out as being the "distribution of the expected value (математическое ожидание) of a new data point (where the expectation is taken over the posterior distribution, Апостериорная вероятность)".


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Note added at 1 day12 hrs (2015-01-07 21:29:23 GMT)
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Dr Temnov says it's "полное прогнозируемое распределение", so that's the conclusive term!!!
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4 KudoZ points awarded for this answer. Comment: "Спасибо! "
11 mins

апостериорное распределение прогнозируемого показателя

Использование байесовской парадигмы
elib.bsu.by/bitstream/123456789/54934/1/42.pdf
Кроме того, интервальный прогноз, наиболее ценный в эконометрике, после нахождения апостериорного распределения прогнозируемого показателя строится тривиальным образом. Поэтому раздел "Байесовское прогнозирование"...

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Note added at 19 mins (2015-01-06 09:08:53 GMT)
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Иногда вместо "прогнозируемой" (Predictive) пишут "ожидаемой". Особенно в экономической статистике:

symixins.narod.ru/aat10/p7.htm
Предположим, что ожидаемая величина убытка есть функция h ... можем показать, что апостериорное распределение ожидаемой величины убытка для ...
Peer comment(s):

neutral DLyons : This term doesn't seem to be in common use and the links aren't very convincing.
2 hrs
It is - for Bayesian statistics as often as source term. But if you will omit "posterior", there would be not Bayesian, but regular statistics.
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