Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2

lognormal distribution Related Abstracts

2 Interval Estimation for Rainfall Mean in Northeastern Thailand

Authors: Nitaya Buntao

Abstract:

This paper considers the problems of interval estimation for rainfall mean of the lognormal distribution and the delta-lognormal distribution in Northeastern Thailand. We present here the modified generalized pivotal approach (MGPA) compared to the modified method of variance estimates recovery (MMOVER). The performance of each method is examined in term of coverage probabilities and average lengths by Monte Carlo simulation. An extensive simulation study indicates that the MMOVER performs better than the MGPA approach in terms of the coverage probability; it results in highly accurate coverage probability.

Keywords: interval estimation, rainfall mean, lognormal distribution, delta-lognormal distribution

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1 An Application of Modified M-out-of-N Bootstrap Method to Heavy-Tailed Distributions

Authors: Hannah F. Opayinka, Adedayo A. Adepoju

Abstract:

This study is an extension of a prior study on the modification of the existing m-out-of-n (moon) bootstrap method for heavy-tailed distributions in which modified m-out-of-n (mmoon) was proposed as an alternative method to the existing moon technique. In this study, both moon and mmoon techniques were applied to two real income datasets which followed Lognormal and Pareto distributions respectively with finite variances. The performances of these two techniques were compared using Standard Error (SE) and Root Mean Square Error (RMSE). The findings showed that mmoon outperformed moon bootstrap in terms of smaller SEs and RMSEs for all the sample sizes considered in the two datasets.

Keywords: bootstrap, pareto distribution, lognormal distribution, income data

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