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Some results on discrete a–monotonicity

 

作者: A.A. Alzaid,   D.A. Al–Osh,  

 

期刊: Statistica Neerlandica  （WILEY Available online 1990）
卷期: Volume 44, issue 1  

页码: 29-33

 

ISSN:0039-0402

 

年代: 1990

 

DOI:10.1111/j.1467-9574.1990.tb01270.x

 

出版商: Blackwell Publishing Ltd

 

关键词: generalized unimodality;mixture;infinitely divisible distribution

 

数据来源: WILEY

 

摘要:

Some characterizations and preservation properties of a–monotonicity are investigated. In particular it is shown that a mixture of binomial or Poisson distributions preserves the a–monotonicity of the mixing distribution. Also, a characterization of a class of infinitely divisible distributions, within the discrete α–unimodal class, is given. This characterization is the discrete version of that of ALAMATSAZ (1985) and KOTZ and STEUTEL (1988) in the continuou

 

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