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Inequalities involving expectations to characterize distributions

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  • Bhattacharjee, Subarna
  • Nanda, Asok K.
  • Misra, Satya Kr.

Abstract

The characterization of distributions is well known in the field of Statistics and Reliability. This paper characterizes a few distributions with the help of failure rate, mean residual, log-odds rate, and aging intensity functions.

Suggested Citation

  • Bhattacharjee, Subarna & Nanda, Asok K. & Misra, Satya Kr., 2013. "Inequalities involving expectations to characterize distributions," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 2113-2118.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:9:p:2113-2118
    DOI: 10.1016/j.spl.2013.05.022
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    References listed on IDEAS

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    1. Yo Sheena & Arjun Gupta, 2004. "New estimators of discriminant coefficients as the gradient of log-odds," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 56(4), pages 757-770, December.
    2. Nanda, Asok K., 2010. "Characterization of distributions through failure rate and mean residual life functions," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 752-755, May.
    3. Nanda, Asok K. & Bhattacharjee, Subarna & Alam, S.S., 2007. "Properties of aging intensity function," Statistics & Probability Letters, Elsevier, vol. 77(4), pages 365-373, February.
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