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Open Journal of Statistics (OJS) is an international journal dedicated to the latest advancements in statistics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of statistics. All…
Xuan Chen, Michael Baron, 1 1
Effects of many medical procedures appear after a time lag, when a significant change occurs in subjects’ failure rate. This paper focuses on the detection and estimation of such changes which is important for the evaluation and comparison of treatments and p…
Raid B. Salha, Hazem I. El Shekh Ahmed, Iyad M. Alhoubi
In this paper, we define the Weibull kernel and use it to nonparametric estimation of the probability density function (pdf) and the hazard rate function for independent and identically distributed (iid) data. The bias, variance and the optimal bandwidth of t…
B. S. Biradar, C. D. Santosha
In this paper maximum ranked set sampling procedure with unequal samples (MRSSU) is proposed. Maximum likelihood estimator and modified maximum likelihood estimator are obtained and their properties are studied under exponential distribution. These methods ar…
Pierre Nguimkeu, Marie Rekkas, Augustine Wong
We propose a procedure to obtain accurate confidence intervals for the stress-strength reliability R = P ( X > Y ) when ( X , Y ) is a bivariate normal distribution with unknown means and covariance matrix. Our method is more accurate than standard methods as…
Bernardo Lagos-Álvarez, Guillermo Ferreira, Emilio Porcu
We consider a time series following a simple linear regression with first-order autoregressive errors belonging to the class of heavy-tailed distributions. The proposed model provides a useful generalization of the symmetrical linear regression models with in…
Behrouz Madahian, Usef Faghihi
Nowadays a common problem when processing data sets with the large number of covariates compared to small sample sizes (fat data sets) is to estimate the parameters associated with each covariate. When the number of covariates far exceeds the number of sample…
Soumaya Ghnimi, Soufiane Gasmi
Proposed by the Swedish engineer and mathematician Ernst Hjalmar Waloddi Weibull (1887-1979), the Weibull distribution is a probability distribution that is widely used to model lifetime data. Because of its flexibility, some modifications of the Weibull dist…
Njoku O. Ama
Two test statistics that have been commonly used in analysing interactions in contingency table are the Pearson’s Chi-square statistic, χ 2 , and likelihood ratio test statistic, G 2 . Both test statistics, in tables with sufficiently large sample size, have…
Andrey V. Timofeev
In this paper we will investigate some non-asymptotic properties of the modified least squares estimates for the non-linear function f(λ*) by observations that nonlinearly depend on the parameter λ*. Non-asymptotic confidence regions with fixed sizes for the…
Al Omari Mohammed Ahmed
This study considers the estimation of Maximum Likelihood Estimator and the Bayesian Estimator of the Weibull distribution with interval-censored data. The Bayesian estimation can’t be used to solve the parameters analytically and therefore Markov Chain Monte…
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Open Journal of Statistics (OJS) is an international journal dedicated to the latest advancements in statistics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of statistics. All… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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