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Estimation of the Parameters of Power Function Distribution based on Records

Authors:

E. I. Abdul-Sathar ,

University of Kerala, Thiruvananthapuram - 695581, IN
About E. I.
Department of Statistics
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G. S. Sathyareji

University of Kerala, Thiruvananthapuram - 695581, IN
About G. S.
Department of Statistics
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Abstract

This paper estimates the power function distribution parameters and predicts the future record values when samples are available only in the form of upper record values. We considered the maximum likelihood and Bayesian techniques for the estimation. We also construct asymptotic, bootstrap, and HPD confidence intervals for the unknown parameters. Bayes estimators are derived using the squared error loss function, entropy loss function, and Linex loss function using the Lindley approximation and importance sampling procedures. Finally, we conduct a simulation study to compare all the proposed estimation methods and analyse a real data set for illustration purposes.

How to Cite: Abdul-Sathar, E.I. and Sathyareji, G.S., 2021. Estimation of the Parameters of Power Function Distribution based on Records. Sri Lankan Journal of Applied Statistics, 22(2), pp.30–55. DOI: http://doi.org/10.4038/sljastats.v22i2.8040
Published on 31 Oct 2021.
Peer Reviewed

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