Browsing Mathematics, Statistics & Physics by Author "Baklizi, Ayman"
Now showing items 1-20 of 26
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An attribute control chart for the inverse Weibull distribution under truncated life tests
Baklizi, Ayman; Ghannam, Sawsan Abu ( Elsevier Ltd , 2022 , Article)Statistical Process Control (SPC) is applied to monitor production processes in order to discover any problems or issues that may arise during the production process and to help in finding solutions for these issues. In ... -
Bayesian inference for Pr ( Y<X ) in the exponential distribution based on records
Baklizi, Ayman ( Elsevier , 2014 , Article)We consider Bayesian estimation of the stress–strength reliability based on record values. The estimators are derived under the squared error loss function in the one parameter as well as two-parameter exponential ... -
Comparison of Interval Estimators of Pr(X < Y) in the Two-parameter Exponential Distribution
Baklizi, Ayman ( Taylor and Francis Inc. , 2016 , Article)We consider confidence intervals for the stress-strength reliability Pr(X< Y) in the two-parameter exponential distribution. We have derived the Bayesian highest posterior density interval using non-informative prior ... -
Confidence intervals for quantiles using record values from the generalized exponential distribution
Baklizi, Ayman ( Nova Science Publishers, Inc. , 2012 , Book chapter)Likelihood-based and bootstrap confidence intervals for the quantiles of the generalized exponential distribution based on record values are developed. Intervals for the difference of quantiles based on two independent ... -
Confidence intervals for the quantiles of the Weibull distribution based on record values
Baklizi, Ayman ( Nova Science Publishers Inc , 2008 , Article)We consider likelihood-based and bootstrap confidence intervals for the quantiles based on record values from the Weibull distribution. We developed also intervals for the difference of quantiles based on two independent ... -
Confidence intervals for the two-parameter exponential reliability with type II censored data
Baklizi, Ayman ( Taylor and Francis Ltd. , 2016 , Article)We consider interval estimation of the reliability of the two-parameter exponential distribution.We consider asymptotic intervals, Bayesian, as well as intervals based on the generalized pivot variable. Transformations to ... -
Empirical likelihood inference for population quantiles with unbalanced ranked set samples
Baklizi, Ayman ( Taylor & Francis Group , 2011 , Article)We consider nonparametric interval estimation for the population quantiles based on unbalanced ranked set samples. We derived the large sample distribution of the empirical log likelihood ratio statistic for the quantiles. ... -
Empirical likelihood intervals for the population mean and quantiles based on balanced ranked set samples
Baklizi, Ayman ( Springer-Verlag , 2008 , Article)We consider nonparametric interval estimation for the population mean and quantiles based on a ranked set sample. The asymptotic distributions of the empirical log likelihood ratio statistic for the mean and quantiles are ... -
Estimation of Pr(X ≤ Y) using record values in the one and two parameter exponential distributions
Baklizi, Ayman ( Taylor & Francis , 2008 , Article)Abstract We consider the problem of estimating the stress-strength reliability when the available data is in the form of record values. The one parameter and two parameters exponential distribution are considered. In the ... -
Improved Likelihood Inference Procedures for the Logistic Distribution
Baklizi, Ayman ( MDPI , 2022 , Article)We consider third-order likelihood inferences for the parameters, quantiles and reliability function of the logistic distribution. This theory involves the conditioning and marginalization of the likelihood function. The ... -
Inference Based on New Pareto-Type Records With Applications to Precipitation and Covid-19 Data
Nik, Ali Saadati; Asgharzadeh, Akbar; Baklizi, Ayman ( International Academic Press , 2023 , Article)We consider estimation and prediction of future records based on observed records from the new Pareto type distribution proposed recently by Bourguignon et al. (2016), ¡°M. Bourguignon, H. Saulo, R. N. Fernandez, A new ... -
Inference in simple regression for the intercept utilizing prior information on the slope
Baklizi, Ayman; Yousif, Adil E. ( Wayne State University , 2011 , Article)Shrinkage type estimators are developed for the intercept parameter of a simple linear regression model and the case when it is suspected a priori that the slope parameter is equal to some specific value is considered. ... -
Interval Estimation in Lifetime Distributions Using Progressively Type II Censored Data
Baklizi, Ayman ( World Scientific , 2022 , Article)In this paper, we developed a method for constructing confidence intervals for the parameters of lifetime distributions based on progressively type II censored data. The method produces closed form expressions for the ... -
Interval estimation of the stress-strength reliability in the two-parameter exponential distribution based on records
Baklizi, Ayman ( Taylor and Francis Ltd. , 2014 , Article)We consider interval estimation of the stress-strength reliability in the two-parameter exponential distribution based on records. We constructed Bayesian intervals, Bootstrap intervals and intervals using the generalized ... -
Large sample and bootstrap intervals for the gamma scale parameter based on grouped data
Baklizi, Ayman; Al-Nasser, Amjad ( Wayne State University , 2006 , Article)Interval estimation of the scale parameter of the gamma distribution using grouped data is considered in this article. Exact intervals do not exist and approximate intervals are needed Recently, Chen and Mi (2001) proposed ... -
Likelihood and Bayesian estimation of using lower record values from the generalized exponential distribution
Baklizi, Ayman ( Elsevier Ltd , 2007 , Article)We consider the likelihood and Bayesian estimation of the stress-strength reliability based on lower record values from the generalized exponential distribution. The estimators are derived and their properties are studied. ... -
Maximum Likelihood Estimation in the Inverse Weibull Distribution with Type II Censored Data
Alshaikh, Fatima A.; Baklizi, Ayman ( Horizon Research Publishing , 2022 , Article)We consider maximum likelihood estimation for the parameters and certain functions of the parameters in the Inverse Weibull (IW) distribution based on type II censored data. The functions under consideration are the Mean ... -
Modified Profile Likelihood Estimation in the Lomax Distribution
Sewailem, Maisoun; Baklizi, Ayman ( Horizon Research Publishing , 2022 , Article)In this paper, we consider improving maximum likelihood inference for the scale parameter of the Lomax distribution. The improvement is based on using modifications to the maximum likelihood estimator based on the ... -
On goodness-of-fit testing for Burr type X distribution under progressively type-II censoring
Pakyari, Reza; Baklizi, Ayman ( Springer , 2022 , Article)In this article, we propose two goodness-of-fit test statistics for the Burr Type X distribution when the available data are subject to progressively Type-II censoring. The proposed test statistics are based on the sample ... -
On the estimation of reliabilty function in a Weibull lifetime distribution
Baklizi, Ayman; Ahmed, S. E. ( Taylor & Francis , 2008 , Article)The estimation of the reliability function of the Weibull lifetime model is considered in the presence of uncertain prior information (not in the form of prior distribution) on the parameter of interest. This information ...