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10 articles for “unbiased estimator”

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Research ArticleOpen accessEvery word in the titleOn Bessel’s Correction: Unbiased Sample Variance, the Bariance, and a Novel Runtime-Optimized EstimatorFelix ReichelBessel’s correction adjusts the denominator in the sample variance formula from n to n – 1 to ensure an unbiased estimator of the population variance. This paper provides rigorous algebraic derivations to reinforce the necessity of this correction. It further introduces the concept of Bariance, an alternative dispersion measure based on average pairwise squared differences that avoids reliance on the … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 29 Jan 2026 · 2,994 accessesView PDFCite
Research ArticleOpen accessIn the keywordsKernel Type Estimator and Statistical Properties for Intensity Function of Periodic Poisson Process with Power Function TrendRo’fah Nur RachmawatiProblem statement: In this study, we construct the estimation for a periodic component of the intensity function of a periodic Poisson process in the presence of power function trend by using the general kernel function. Beside that we also construct the statistical properties of the estimator. Approach: It is considered the worst case where there is only available a single … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 6 Nov 2012 · 7,293 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Modification of the Ridge Type Regression EstimatorsMoawad El-Fallah Abd El-SalamProblem statement: Many regression estimators have been used to remedy multicollinearity problem. The ridge estimator has been the most popular one. However, the obtained estimate is biased. Approach: In this stuyd, we introduce an alternative shrinkage estimator, called modified unbiased ridge (MUR) estimator for coping with multicollinearity problem. This estimator is obtained from Unbiased Ridge Regression (URR) in the same … …American Journal of Applied Sciences, Vol. 8, Issue 1 · 31 Jan 2011 · 7,638 accessesView PDFCite
Research ArticleOpen accessIn the keywordsPercentile Double Ranked Set SamplingAmer Ibrahim Al-Omari, Khalifa H. JaberIn this paper, percentile double ranked set sampling (PDRSS) method is suggested for estimating the population mean. The PDRSS method is compared with the simple random sampling (SRS), ranked set sampling (RSS), median ranked set sampling (MRSS) and the extreme ranked set sampling (ERSS) methods. When the underlying distribution is symmetric, it turns out that PDRSS produce unbiased estimators of … …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,411 accessesView PDFCite
Research ArticleOpen accessIn the abstractLog-Moment Estimators for the Generalized Linnik and Mittag-Leffler Distributions with Applications to Financial ModelingDexter O. Cahoy, Wojbor A. WoyczyńskiWe propose formal estimation procedures for the parameters of the generalized, heavy-tailed three-parameter Linnik gL(α, µ, δ) and Mittag-Leffler gML(α, µ, δ) distributions. The paper also aims to provide guidance about the different inference procedures for the different two-parameter Linnik and Mittag-Leffler distributions in the current literature. The estimators are derived from the moments of the log-transformed random variables and … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 1 Aug 2018 · 7,355 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn the Mean Estimation using Stratified Double Median Ranked Set SamplingMahmoud Ibrahim Syam, Amer Ibrahim Al-Omari, Kamarulzaman IbrahimStratified Double Median Ranked Set Sampling (SDMRSS) method is suggested for estimating the population mean. The SDMRSS is compared with the Simple Random Sampling (SRS), Stratified Simple Random Sampling (SSRS) and Stratified Ranked Set Sampling (SRSS) methods. It is shown that SDMRSS estimator is an unbiased of the population mean and is more efficient than the SRS, SSRS and SRSS … …American Journal of Applied Sciences, Vol. 14, Issue 4 · 12 Apr 2017 · 7,576 accessesView PDFCite
Research ArticleOpen accessIn the abstractMAXIMUM LIKELIHOOD ESTIMATION FOR SPATIAL DURBIN MODELRokhana Dwi Bekti, Anita Rahayu, SutiknoSpatial Durbin Model (SDM) is one method of spatial autoregressive. This model was developed because the dependencies in the spatial relationships not only occur in the dependent variable, but also on the independent variables. In the assessment of parameter estimation, the process is carried out by Maximum Likelihood Estimation (MLE). This estimation can be approximation by Spatial Autoregressive Models (SAR). … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 15 Jun 2013 · 8,636 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Robust Hybrid Approach to Enhance Speech in Mobile Communication SystemsManimegalai Govindan Sumithra, Keppana Gounder Thanuskodi, Bharathi DeepaProblem statement: The received voice signal in mobile communication is often disturbed by background noise and hence there is a need for good noise reduction methods for enhancing Speech. It is well known that denoising is a compromise between the removal of the largest possible amount of noise and the preservation of signal integrity. To address this issue, a new … …American Journal of Applied Sciences, Vol. 8, Issue 4 · 18 Apr 2011 · 7,299 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimation of the Mean of Truncated Exponential DistributionFaris Muslim Al-AthariProblem statement: In this study, the researcher considers the problem of estimation of the mean of the truncated exponential distribution. Approach: This study contracted with maximum likelihood and unique minimum variance unbiased estimators and gives a modification for the maximum likelihood estimator, asymptotic variances and asymptotic confidence intervals for the estimators. The properties of these estimators in small, moderate and … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 7,675 accessesView PDFCite
Research ArticleOpen accessIn the abstractMultistage Median Ranked Set Sampling for Estimating the Population MedianAbdul Aziz Jemain, Amer Al-Omari, Kamarulzaman IbrahimWe modify RSS to come up with new sampling method, namely, Multistage Median Ranked Set Sampling (MMRSS). The MMRSS was suggested for estimating the population median and to increase the efficiency of the estimator for specific value of the sample size. The MMRSS was compared to the Simple Random Sampling (SRS), Ranked Set Sampling (RSS) and Median Ranked Set Sampling … …Journal of Mathematics and Statistics, Vol. 3, Issue 2 · 30 Jun 2007 · 7,143 accessesView PDFCite