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Sums of totally positive functions of order 2 and applications

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  • Laradji, A.

Abstract

We present in this note a sufficient condition for sums of TP2 functions (totally positive of order 2) to be TP2. We apply our results to several distributions and provide, in particular, conditions for which certain widely used families of distributions are multivariate totally positive of order 2.

Suggested Citation

  • Laradji, A., 2015. "Sums of totally positive functions of order 2 and applications," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 176-180.
    • Handle: RePEc:eee:stapro:v:105:y:2015:i:c:p:176-180
    DOI: 10.1016/j.spl.2015.04.025
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    6. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
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