Absorption sampling and the absorption distribution

Journal of Applied Probability - Tập 35 Số 02 - Trang 489-494 - 1998
Adrienne W. Kemp1
1University of St Andrews

Tóm tắt

The inverse absorption distribution is shown to be a q-Pascal analogue of the Kemp and Kemp (1991) q-binomial distribution. The probabilities for the direct absorption distribution are obtained via the inverse absorption probabilities and exact expressions for its first two factorial moments are derived using q-series transformations of its probability generating function. Alternative models for the distribution are given.

Từ khóa


Tài liệu tham khảo

1981, Commun. Statist. – Theory and Methods, A10, 1915

1953, Skandinavisk Aktuarietidskrift, 36, 151

1952, Skandinavisk Aktuarietidskrift, 35, 201

10.1016/0167-7152(93)90023-C

1935, Generalized Hypergeometric Series

1966, Generalized Hypergeometric Functions

1973, Ecology: An Evolutionary Approach

10.2307/3214644

1992, Univariate Discrete Distributions

1991, Amer. Statistician, 45, 216

1990, Basic Hypergeometric Series

1953, Higher Transcendental Functions, I

10.1006/aama.1996.0504

Thông tin
Thông tin xuất bản

Journal of Applied Probability

Tập 35 Số 02

489-494

Thông tin tác giả