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Characterization theorems for some discrete distributions based on conditional structure
Author(s) -
Wang Y.,
Gupta A.K.,
Nguyen T.T.
Publication year - 1996
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315631
Subject(s) - conditional probability distribution , mathematics , joint probability distribution , conditional expectation , series (stratigraphy) , distribution (mathematics) , conditional probability , characterization (materials science) , conditional variance , combinatorics , regular conditional probability , discrete mathematics , statistics , econometrics , mathematical analysis , physics , probability mass function , autoregressive conditional heteroskedasticity , volatility (finance) , paleontology , optics , biology
The joint distribution of ( X,Y ) is determined if the conditional expectation E { g(X)|Y = y } is given and the conditional distribution of Y |( X = x ) is a conditional power series distribution, where g (·) is a function satisfying some minor conditions.