The likelihood equations based on a progressively Type-II censored sample from Gaussian distribution do not provide explicit solutions in any situation except the complete case. This paper examines numerically bias and mean square error of MLE, demonstrates that probability coverages pivotal quantities (for location scale parameters) asymptotic s-normality are unsatisfactory, particularly so when effective size is small. Therefore, this suggests using unconditional simulated percentage...

The extreme value distribution has been extensively used to model natural phenomena such as rainfall and floods, also in modeling lifetimes material strengths. Maximum likelihood estimation (MLE) for the parameters of leads equations that have be solved numerically, even when complete sample is available. In this paper, we discuss point interval based on progressively Type-II censored samples. Through an approximation equations, obtain explicit estimators which are approximations MLEs. Using...

In this paper, we introduce a new adaptive Type-I progressive hybrid censoring scheme, which has some advantages over the schemes already discussed in literature. Based on an progressively censored sample, derive exact distribution of maximum-likelihood estimator (MLE) mean lifetime exponential as well confidence intervals for failure rate using distribution, asymptotic and three parametric bootstrap resampling methods. Furthermore, provide computational formula expected number failures...

In this article, we discuss the maximum likelihood estimators and approximate of parameters Weibull distribution with two different progressively hybrid censoring schemes. We also present associated expressions expected total test time effective sample size which will be useful for experimental planning purpose. Finally, efficiency point estimation based on progressive schemes are compared merits each scheme discussed.

We present a simple method for testing goodness-of-fit based on type-II right censored samples. Applying the property of order statistics due to Malmquist, we can transform any conventional sample size <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">r</i> out xmlns:xlink="http://www.w3.org/1999/xlink">n</i> from uniform distribution complete distribution. This result is used develop proposed test procedure. The simulation studies reveal that...

In this paper, we consider a constant stress accelerated life test terminated by hybrid Type-I censoring at the first level. The model is based on general log-location-scale lifetime distribution with mean being linear function of and scale. We obtain maximum likelihood estimators (MLE) approximate (AMLE) parameters. Approximate confidence intervals, ratio tests two bootstrap methods are used to construct intervals for unknown parameters Weibull lognormal distributions using MLEs. Finally,...

Abstract A sampling plan with a polynomial loss function for the exponential distribution is considered. From of maximum likelihood estimator mean an based on Type-I and Type-II hybrid censored samples, we obtain explicit expression Bayes risk quadratic function. Some numerical examples comparisons are given to illustrate effectiveness proposed method, robustness study reveals that optimal plans quite robust. Keywords: riskEfficiencyExponential distributionHybrid censoringMaximum...

Acceptance testing is widely used to assess whether a product meets the expectations of customers. Yet, traditional acceptance tests based on time-to-failure data will not be practical because today's highly reliable products may take long time fail. It good in this case base test suitable quality characteristic (QC) whose degradation over related reliability product. Motivated by resistor data, we first propose model describe paths resistors. Next, present an accelerated-stress reduce time,...

Abstract From the exact distribution of maximum likelihood estimator average lifetime based on progressive hybrid exponential censored sample, we derive an explicit expression for Bayes risk a sampling plan when quadratic loss function is used. The simulated annealing algorithm then used to determine optimal plan. Some solutions under and ordinary censoring schemes are presented illustrate effectiveness proposed method. Keywords: riskmaximum estimationoptimal planordinary...

Degradation tests are powerful and useful tools for lifetime assessment of highly reliable products. In some applications, the degradation measurement process would destroy physical characteristic units when tested at higher than usual stress levels an accelerating variable such as temperature, so that only one can be made on each unit during testing. An accelerated test giving rise to a data is called destructive (ADDT). The specification size total sample, frequency measurements, number...

A test for exponentiality based on progressively Type-II right censored spacings has been proposed recently by Balakrishnan et al. (2002). They derived the asymptotic null distribution of statistic. In this work, we utilize algorithm Huffer and Lin (2001) to evaluate exact probabilities critical values Keywords: Exponential DistributionGoodness-of-fitLifetime DataProgressive Censoring

Abstract We discuss the maximum likelihood estimates (MLEs) of parameters log-gamma distribution based on progressively Type-II censored samples. use profile approach to tackle problem estimation shape parameter κ. derive approximate estimators μ and σ them as initial values in determination MLEs through Newton–Raphson method. Next, we EM algorithm propose a modified for MLEs. A simulation study is conducted evaluate bias mean square error these examine their behavior progressive censoring...

The Bayesian estimation and prediction problems for the linear hazard rate distribution under general progressively Type-II censored samples are considered in this article. conventional framework as well Markov Chain Monte Carlo (MCMC) method to generate conditional probabilities of interest discussed. Sensitivity prior model is also examined. flood data on Fox River, Wisconsin, from 1918 1950, used illustrate all methods inference discussed

Some corrections are made for the article mentioned above. These errors occured due to floating in computation of Bayes risk which involves terms large magnitude and opposite sign as sample size increases, that resulted loss accuracy fixed precision computational tool such Fortran language. For accurate numerical calculation, we now use symbolic math package, Maple, implement calculation can supply answers any required degree precision. Based on new tables, some comments earlier Sec. 4 have...

Abstract By applying the recursion of Huffer (Citation1988) repeatedly, we propose an algorithm for evaluating null joint distribution Dixon-type test statistics testing discordancy k upper outliers in exponential samples. using critical values determined from proposed and those Cochran-type presented earlier by Lin Balakrishnan (Citation2009), carry out extensive Monte Carlo study to investigate powers error probabilities effects masking swamping when number = 2 3. Based on our empirical...

We consider a <i xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</i> -step step-stress model under Type-I censoring. obtain the maximum likelihood estimates (MLE) of parameters assuming cumulative exposure with lifetimes being lognormal distributed. A two-stage algorithm integrating modified simulated annealing Newton-Raphson method is proposed to compute MLE parameters. also derive confidence intervals for using asymptotic distributions, ratio...

AbstractIn this article, estimation of the probability Q = P(Y < X) when X and Y are two independent but not identically location-scale distributed random variables under joint progressively Type-II censoring is studied. The maximum likelihood confidence intervals using asymptotic distribution parametric bootstrap resampling methods for parameter explored. A simulation study concentrating mainly on extreme-value illustrates accuracy these intervals. Finally, a numerical example used to...

Abstract The linear hazard rate distribution (LHRD) is a two-parameter that contains exponential and generalized Rayleigh distributions as special cases. It has applications in number of fields including reliability improvement, life testing, survival analysis. An iterative EM algorithm presented to compute maximum likelihood estimates (MLEs) for the LHRD based on records inter-record times. Simulation results indicate obtained by method are better than those least-squares type estimation...