Bayesian Estimation of Weighted Inverse Maxwell Distribution under Different Loss Functions

  • Aijaz Ahmad Department of Mathematics, Bhagwant University, Ajmer, India
  • Rajnee Tripathi Department of Mathematics, Bhagwant University, Ajmer, India
Keywords: Bayesian techniques, Jeffery’s prior, Erlang prior, maximum likelihood estimation, loss functions

Abstract

In this study, the shape parameter of the weighted Inverse Maxwell distribution is estimated by employing Bayesian techniques. To produce posterior distributions, the extended Jeffery's prior and the Erlang prior are utilised. The estimators are derived from the squared error loss function, the entropy loss function, the precautionary loss function, and the Linex loss function. Furthermore, an actual data set is studied to assess the effectiveness of various estimators under distinct loss functions.

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Published
2021-12-20
How to Cite
Ahmad, A., & Tripathi, R. (2021). Bayesian Estimation of Weighted Inverse Maxwell Distribution under Different Loss Functions. Earthline Journal of Mathematical Sciences, 8(1), 189-203. https://doi.org/10.34198/ejms.8122.189203
Section
Articles