Maximum likelihood estimation for the wrapped Cauchy distribution

1988 ◽  
Vol 15 (2) ◽  
pp. 247-254 ◽  
Author(s):  
John T. Kent ◽  
David E. Tyler
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Cauchy Distribution ◽  
Wrapped Cauchy Distribution

scholarly journals A New Generalized Cauchy Distribution with an Application to Annual One Day Maximum Rainfall Data

2021 ◽  
Vol 9 (1) ◽  
pp. 123-136
Author(s):  
Cory Ball ◽  
Binod Rimal ◽  
Sher Chhetri
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Simulation Study ◽  
Likelihood Estimation ◽  
Cauchy Distribution ◽  
Maximum Rainfall ◽  
Mathematical Properties ◽  
Proposed Model ◽  
Method Of Maximum Likelihood ◽  
Map Approach

In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed. A simulation study is conducted using the method of maximum likelihood estimation to estimate the parameters of the proposed model. We used two real datasets and compare various statistics to show the fitting and versatility of the model.

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