The Existence Question for Maximum-Likelihood Estimators in Time-of-Arrival-Based Localization

2018 ◽  
Vol 25 (9) ◽  
pp. 1354-1358 ◽  
Author(s):  
Michael Pauley ◽  
Jonathan H. Manton
Author(s):  
Nadia Hashim Al-Noor ◽  
Shurooq A.K. Al-Sultany

        In real situations all observations and measurements are not exact numbers but more or less non-exact, also called fuzzy. So, in this paper, we use approximate non-Bayesian computational methods to estimate inverse Weibull parameters and reliability function with fuzzy data. The maximum likelihood and moment estimations are obtained as non-Bayesian estimation. The maximum likelihood estimators have been derived numerically based on two iterative techniques namely “Newton-Raphson” and the “Expectation-Maximization” techniques. In addition, we provide compared numerically through Monte-Carlo simulation study to obtained estimates of the parameters and reliability function in terms of their mean squared error values and integrated mean squared error values respectively.


2021 ◽  
pp. 1-1
Author(s):  
Xiaotian Xie ◽  
Dimitrios Katselis ◽  
Carolyn L. Beck ◽  
R. Srikant

2011 ◽  
Vol 81 (4) ◽  
pp. 529-537 ◽  
Author(s):  
Alexandre G. Patriota ◽  
Gauss M. Cordeiro

2020 ◽  
Vol 72 (2) ◽  
pp. 89-110
Author(s):  
Manoj Chacko ◽  
Shiny Mathew

In this article, the estimation of [Formula: see text] is considered when [Formula: see text] and [Formula: see text] are two independent generalized Pareto distributions. The maximum likelihood estimators and Bayes estimators of [Formula: see text] are obtained based on record values. The Asymptotic distributions are also obtained together with the corresponding confidence interval of [Formula: see text]. AMS 2000 subject classification: 90B25


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