Note on “Parameters estimators of irregular right-angled triangular distribution”
Keyword(s):
Simple estimators were given in (Kachiashvili & Topchishvili, 2016) for the lower and upper limits of an irregular right-angled triangular distribution together with convenient formulas for removing their bias. We argue here that the smallest observation is not a maximum likelihood estimator (MLE) of the lower limit and we present a procedure for computing an MLE of this parameter. We show that the MLE is strictly smaller than the smallest observation and we give some bounds that are useful in a numerical solution procedure. We also present simulation results to assess the bias and variance of the MLE.
2018 ◽
pp. 439
2001 ◽
Vol 98
(1-2)
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pp. 89-99
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2020 ◽
Vol 28
(3)
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pp. 183-196
Moderate deviations of maximum likelihood estimator for independent not identically distributed case
2006 ◽
Vol 76
(10)
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pp. 1056-1064
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1991 ◽
Vol 12
(3)
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pp. 237-253
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2010 ◽
Vol 140
(6)
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pp. 1576-1593
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