Abstract

The Weighted New Weibull Pareto Distribution Some Characteristics and Applications

Highlights

  • In real life, there exist some situations when for an investigator it is not possible to select a sample with equal probability

  • (iii) When in eq(1.3), 1, the weighted new Weibull Pareto (WNWP) distribution reduces to length-biased new Weibull Pareto (LNWP) distribution with pdf given as fl (v)

  • (iv) When in eq (1.3), 2, the WNWP distribution reduces to area-biased new Weibull Pareto (ANWP) distribution with pdf given as fa (v)

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Summary

INTRODUCTION

There exist some situations when for an investigator it is not possible to select a sample with equal probability. In such situations, sampling frames are not properly defined and recorded observations are biased and do not follow the original distribution. (iii) When in eq(1.3), 1, the WNWP distribution reduces to length-biased new Weibull Pareto (LNWP) distribution with pdf given as fl. (iv) When in eq (1.3), 2, the WNWP distribution reduces to area-biased new Weibull Pareto (ANWP) distribution with pdf given as fa v 1 exp III.

Moments
SHANNON’S ENTROPY
REAL LIFE ILLUSTRATION
CONCLUSION
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