Statistical Inference and Prediction for The Inverse Weibull Distribution based On Record Data

2014 ◽  
Vol 3 (2) ◽  
pp. 171-177 ◽  
Author(s):  
M. M. Mohie El-Din ◽  
Fathy H. Riad ◽  
Mohamed A. El-Sayed
Keyword(s):  
Weibull Distribution ◽  
Statistical Inference ◽  
Inverse Weibull Distribution ◽  
Record Data

scholarly journals Statistical Inference for the Weibull Distribution Based on δ-Record Data

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 20 ◽  
Author(s):  
Raúl Gouet ◽  
F. Javier López ◽  
Lina Maldonado ◽  
Gerardo Sanz
Keyword(s):  
Maximum Likelihood ◽  
Experimental Design ◽  
Weibull Distribution ◽  
Bayesian Estimation ◽  
Statistical Inference ◽  
Numerical Computation ◽  
Weibull Model ◽  
Rainfall Series ◽  
Estimation Of Parameters ◽  
Record Data

We consider the maximum likelihood and Bayesian estimation of parameters and prediction of future records of the Weibull distribution from δ -record data, which consists of records and near-records. We discuss existence, consistency and numerical computation of estimators and predictors. The performance of the proposed methodology is assessed by Montecarlo simulations and the analysis of monthly rainfall series. Our conclusion is that inferences for the Weibull model, based on δ -record data, clearly improve inferences based solely on records. This methodology can be recommended, more so as near-records can be collected along with records, keeping essentially the same experimental design.

A Note On Beta Inverse-Weibull Distribution

2013 ◽  
Vol 42 (2) ◽  
pp. 320-335 ◽  
Author(s):  
Sharoon Hanook ◽  
Muhammad Qaiser Shahbaz ◽  
Muhammad Mohsin ◽  
B. M. Golam Kibria
Keyword(s):  
Weibull Distribution ◽  
Inverse Weibull Distribution
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