STATISTICAL PROPERTIES AND ESTIMATION PROCEDURE FOR TRANSMUTED INVERTED EXPONENTIAL DISTRIBUTION: APPLICATION TO BLADDER CANCER DATA

  • Abhimanyu Singh Yadav Department of Statistics, Central University of Rajasthan, Ajmer, India
  • S. K. Singh Department of Statistics, Banaras Hindu University, Varanasi, India
  • Umesh Singh Department of Statistics, Banaras Hindu University, Varanasi, India
Keywords: Transmuted Inverted Exponential Distribution, Inverse Moments, Generating Function And Different Methods Estimation

Abstract

In survival analysis, the inverted family of distributions is frequently used to analyze the data with non-monotone failure rate pattern. In this paper, the inverted exponential distribution called as transmuted inverted exponential distribution (TIED) is taken under study. The considered distribution is more flexible and admitting several attractive properties. Further, different estimation procedures have also been discussed to estimate the parameters of TIED and compared through the Monte Carlo simulation study. Also, the applicability of the TIED is shown for a bladder cancer data set.

 

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Published
2018-11-30
Section
Articles