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Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments

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  • Peng Zhao
  • Xiaohu Li

Abstract

In this article, we review some recent results on the stochastic comparison of convolutions from independent and heterogeneous random variables. We highlight the close connections that exist between some classical stochastic orders and majorization-type orders.

Suggested Citation

  • Peng Zhao & Xiaohu Li, 2014. "Ordering Properties of Convolutions from Heterogeneous Populations: A Review on Some Recent Developments," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(10-12), pages 2260-2273, May.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:10-12:p:2260-2273
    DOI: 10.1080/03610926.2012.762796
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    Cited by:

    1. Félix Belzunce & Carolina Martínez-Riquelme, 2019. "On the unimodality of the likelihood ratio with applications," Statistical Papers, Springer, vol. 60(1), pages 223-237, February.
    2. Junrui Wang & Rongfang Yan & Bin Lu, 2020. "Stochastic Comparisons of Parallel and Series Systems with Type II Half Logistic-Resilience Scale Components," Mathematics, MDPI, vol. 8(4), pages 1-18, March.

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