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A comment on 'Unimodality of the distribution of record statistics'

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  • Aliev, Fazil Alioglu

Abstract

We present a counterexample of the two theorems on the unimodality conditions for distributions of record statistics, which were formulated by Basak and Basak (Statist. Probab. Lett. 56, 395).

Suggested Citation

  • Aliev, Fazil Alioglu, 2003. "A comment on 'Unimodality of the distribution of record statistics'," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 39-40, August.
    • Handle: RePEc:eee:stapro:v:64:y:2003:i:1:p:39-40
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    References listed on IDEAS

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    1. Basak, Prasanta & Basak, Indrani, 2002. "Unimodality of the distribution of record statistics," Statistics & Probability Letters, Elsevier, vol. 56(4), pages 395-398, February.
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    Cited by:

    1. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein, 2011. "Some new results on unimodality of generalized order statistics and their spacings," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1677-1682, November.
    2. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein & Cramer, Erhard, 2015. "Discrete strong unimodality of order statistics," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 176-185.
    3. Cramer, Erhard, 2004. "Logconcavity and unimodality of progressively censored order statistics," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 83-90, June.

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    1. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein & Cramer, Erhard, 2015. "Discrete strong unimodality of order statistics," Statistics & Probability Letters, Elsevier, vol. 103(C), pages 176-185.
    2. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein, 2011. "Some new results on unimodality of generalized order statistics and their spacings," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1677-1682, November.
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    4. Cramer, Erhard, 2004. "Logconcavity and unimodality of progressively censored order statistics," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 83-90, June.

    More about this item

    Keywords

    Record statistics Unimodality;

    Statistics

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