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An Exponentiated Odd Lindley Inverse Exponential Distribution and its Application to Infant Mortality and HIV Transmission Rates in Nigeria

Innocent Boyle Eraikhuemen, Gerald Ikechukwu Onwuka, Bassa Shiwaye Yakura, Hassan Allahde

International STD Research & Reviews · pp. 12–30 · Published 30 Jan 2021

10.9734/ISRR/2021/v10i130120

Abstract

Recently, researchers have shown much interest in developing new continuous probability distributions by adding one or two parameter(s) to the some existing baseline distributions. This act has been beneficial to the field of statistical theory especially in modeling of real life situations. Also, the exponentiated family as used in developing new distributions is an efficient method proposed and studied for defining more flexible continuous probability distributions for modeling real life data. In this study, the method of exponentiation has been used to develop a new distribution called “Exponentiated odd Lindley inverse exponential distribution”. Some properties of the proposed distribution and estimation of its unknown parameters has been done using the method of maximum likelihood estimation and its application to real life datasets. The new model has been applied to infant mortality rate and mother-to-child HIV transmission rate. The results of these two applications reveal that the proposed model is a better model compared to the other fitted existing models by some selection information criteria.

Odd Lindley inverse exponential distribution exponentiated family properties maximum likelihood estimation applications.

References (28)

  1. 1 Exponentiated Weibull family for analyzing bathtub failure-rate data [DOI]
  2. 2 A new method for generating families of continuous distributions [DOI]
  3. 3 Sample Quantiles in Statistical Packages [DOI]
  4. 4 A Quantile Alternative for Kurtosis [DOI]
  5. 5 The Weibull-G Family of Probability Distributions [DOI]
  6. 6 A General Purpose Approximate Goodness-of-Fit Test [DOI]
  7. 7 Sample Quantiles in Statistical Packages [DOI]
  8. 8 The Weibull-G Family of Probability Distributions [DOI]
  9. 9 Mathematics of Statistics. [DOI]
  10. 10 The Lomax generator of distributions: Properties, minification process and regression model [DOI]
  11. 11 The Odd Lindley-G Family of Distributions [DOI]
  12. 12 Exponentiated Weibull family for analyzing bathtub failure-rate data [DOI]
  13. 13 The Weibull Fréchet distribution and its applications [DOI]
  14. 14 The odd Lomax generator of distributions: Properties, estimation and applications [DOI]
  15. 15 A NEW WEIBULL-G FAMILY OF DISTRIBUTIONS [DOI]
  16. 16 Journal of Advances in Mathematics and Computer Science [DOI]
  17. 17 Performance rating of the transmuted exponential distribution: an analytical approach [DOI]
  18. 18 The Transmuted Inverse Exponential Distribution [DOI]
  19. 19 Exponential Inverse Exponential (EIE) Distribution with Applications to Lifetime Data [DOI]
  20. 20 A Power Gompertz Distribution: Model, Properties and Application to Bladder Cancer Data [DOI]
  21. 21 Application of Kumaraswamy Inverse Exponential Distribution to Real Lifetime Data
  22. 22 On the Properties and Applications of Transmuted Odd Generalized Exponential-Exponential Distribution [DOI]
  23. 23 On the inferences and applications of transmuted exponential Lomax distribution [DOI]
  24. 24 Odds Generalized Exponential – Exponential Distribution [DOI]
  25. 25 On the Properties and Applications of Lomax-Exponential Distribution [DOI]
  26. 26 A Lomax-inverse Lindley Distribution: Model, Properties and Applications to Lifetime Data [DOI]
  27. 27 STATISTICAL PROPERTIES AND APPLICATIONS OF A NEW LINDLEY EXPONENTIAL DISTRIBUTION
  28. 28 Modeling lifetime data with Weibull-Lindley distribution [DOI]

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