Abstract
The objective of this paper is to give a unified and an extended structure of the above classes of distributions as well as their many applications. The behaviour of these families is investigated under most commonly occurring functional operations such as closure under convolution, a passage to a limit in the weak sense, reversal and mixing properties. The useful and smooth properties of unimodality, strong unimodality and their variants are found to hold for some subclasses of these applicable probability distributions.
Keywords
- Unimodal Distribution
- Functional Operation
- Increase Failure Rate
- Monotone Likelihood Ratio
- Exchangeable Random Variable
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 1978 ACADEMIA, Publishing House of the Czechoslovak Academy of Sciences, Prague
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Ahmad, R., Abouammoh, A.M. (1978). Polya-Type, Schur-Concave and Related Probability Distributions. In: Transactions of the Eighth Prague Conference. Czechoslovak Academy of Sciences, vol 8A. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9857-5_5
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DOI: https://doi.org/10.1007/978-94-009-9857-5_5
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