TL- MOMENTS AND L-MOMENTS ESTIMATION FOR THE TRANSMUTED WEIBULL DISTRIBUTION

  • Ashok Kumar Department of Statistics, University of Lucknow, Lucknow
  • Rajiv Saksena Department of Statistics, University of Lucknow, Lucknow
Keywords: Transmuted Weibull Distribution, Order Statistics, L-moments, TL-moments, Monte Carlo simulation

Abstract

Accurate estimation of parameters of a probability distribution is of massive importance in statistics. Biased and vague estimation of parameters can lead to misleading results. The Transmuted Weibull Distribution (TWD) has the advantage of bring capable of modeling various types of data, so the accurate estimation of the parameters of this distribution is required. The main purpose of this paper is to develop the Trimmed Linear moments (TLmoments) of the TWD and use the TL-moments to estimate unknown parameters of the TWD. An special case, linear moments (L-moments) will be obtained and used to estimate the unknown parameters of the TWD. Monte Carlo Simulation technique is used to compare the L-moments and TL-moments of TWD.

 

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Published
2017-11-05
Section
Articles