Sample size, parameter rates and contiguity the I.I.D. case
Titel:
Sample size, parameter rates and contiguity the I.I.D. case
Auteur:
Akritas, M.G. Puri, M.L. Roussas, G.G.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 8 (1978) nr. 1 pagina's 71-83
Jaar:
1978
Inhoud:
Let [image omitted] defined on the probability space (X, A, Pθ), where [image omitted] is an open subset of [image omitted] , is a nondecreasing sequence of positive integers tending to ∞ as [image omitted] . Let [image omitted] , be a sequence of positive real numbers tending to ∞ as [image omitted] and set [image omitted] . Finally, let [image omitted] be the restrictions of the probability measures [image omitted] , respectively, to the σ-field [image omitted] . Then a necessary and sufficient condition for the sequences [image omitted] to be contiguous is that [image omitted] , provided certain fairly mild conditions are satisfied.