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Some Reliability and Other Properties of Beta-Transformed Random Variables

Author

Listed:
  • Sreehari M.

    (M. S. University of Baroda, Vadodara, India)

  • Sandhya E.

    (Department of Statistics, Prajyoti Niketan College, Pudukkad, 680301, India)

  • Mohamed Akbar V. K.

    (Department of Statistics, St. Thomas College, Pala, 686574, India)

Abstract

The reliability properties of beta-transformed random variables are discussed. A necessary and sufficient condition for a beta-transformed geometric random variable to follow a power series distribution is derived. It is shown that a beta-transformed member of the Katz family does not belong to the Katz family unless it is a geometric distribution, thereby getting a characterization.

Suggested Citation

  • Sreehari M. & Sandhya E. & Mohamed Akbar V. K., 2018. "Some Reliability and Other Properties of Beta-Transformed Random Variables," Stochastics and Quality Control, De Gruyter, vol. 33(2), pages 83-92, December.
    • Handle: RePEc:bpj:ecqcon:v:33:y:2018:i:2:p:83-92:n:4
    DOI: 10.1515/eqc-2018-0017
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    References listed on IDEAS

    as
    1. Unnikrishnan Nair, N. & Sankaran, P.G., 2013. "Characterizations of discrete distributions using reliability concepts in reversed time," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 1939-1945.
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