Stochastic comparisons of Poisson and binomial random variables with their mixtures

Statistics and Probability Letters

Volumn 65, Issue 4, 2003, Pages 279-290

  Misra, Neeraj ^a,b   Singh, Harshinder ^a,c   Harner, E James ^a  

^a WEST VIRGINIA UNIVERSITY   (United States)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

^c NATIONAL INSTITUTE FOR OCCUPATIONAL SAFETY AND HEALTH   (United States)

Author keywords

Convex ordering; Expectation ordering; Likelihood ratio ordering; Mixed binomial distribution; Mixed Poisson distribution; Simple stochastic ordering; Uniformly more variable ordering

Indexed keywords

EID: 0344628496     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2003.07.002     Document Type: Article

References (7)

1. Agresti A. Categorical Data Analysis 1990 Wiley New York
2. Boland P.J. Singh H. Cukic B. Stochastic orders in partition and random testing of software J. Appl. Probab. 39 2002 555-565
3. Ross S.M. Stochastic Processes 1983 Wiley New York
4. Shaked M. On mixtures from exponential families J. Roy. Statist. Soc. Ser. B 42 1980 192-198
5. Shaked M. Shanthikumar J.G. Stochastic Orders and their Applications 1994 Academic Press Boston
6. Singh H. On partial orderings of life distributions Naval Res. Logist. 36 1989 103-110
7. Weyuker E.J. Jeng B. Analysing partition testing strategies IEEE Trans. Software Eng. SE-17 1991 703-711