Estimation of Extension of Topp-Leone Distribution using Two Different Methods: Maximum Product Spacing and Maximum Likelihood Estimate
DOI:
https://doi.org/10.56919/usci.2432.014Keywords:
Estimation, Topp-Leone, Maximum Likelihood, Maximum Product Spacing, DistributionAbstract
The parameters for Log-Topp-leone (L-T-L) distribution, Topp-leone-exponential (T-L-E) distribution, and Top-plane-Weibull (T-L-W) distribution were estimated via the methods of ML (maximum likelihood) and MPS (maximum product spacing). Simulations were carried out using R-Studio to estimate the parameters and check the efficiency of the estimators. As a consequence, if the sample size (SS) increases, the outcome of the estimations tends to the true PV (parameter values), which proves the consistency and adequacy (C & A) of all the estimators. Similarly, the MSE and biases using the two estimators approach zero, even though some MPS bias values fluctuated. This shows the suitability of each estimator, and MLE is more unbiased and adequate. The estimates using MLE and MPS were efficient. Thus, we recommend that MLE be employed in assessing and computing the parameters of extensions of the Topp-Leone (TL) distribution.
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