The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
This paper examines a method for generating new classes of distributions which arise naturally in practice. The generated classes of distributions include the well known Marshall and Olkin class of distributions and can be thought of as mixing two discrete distributions or a discrete distribution with an absolutely continuous distribution. Properties of these classes of distributions are derived and...
Under certain conditions, the distribution of burr is shown to follow an extreme value distribution. In this context, a result on extremal process based on stationary sequence is proved. Some data sets are analyzed and applications of the results indicated.
This article considers robust designs for safety and quality critical processes. In critical processes, the choice of control settings should ensure that the product quality remains near the target for each and every value of the noise variable. This objective is realized by using a min-max approach which minimizes the maximum possible deviation (caused by noise) of the estimated response from the...
The paper discusses statistical inference dealing with the asymptotic theory of likelihood ratio tests when some parameters may lie on boundary of the parameter space. We derive a closed form solution for the case when one parameter of interest and one nuisance parameter lie on the boundary. The asymptotic distribution is not always a mixture of several chi-square distributions. For the cases when...
In this work, we consider semiparametric estimation of quality adjusted lifetime (QAL) distribution using Cox proportional hazards model for the sojourn time in each health state. The regression coefficients are estimated by maximizing the corresponding partial likelihood and the baseline cumulative hazards are estimated by using the method of Breslow (Biometrics 30:89–99, 1974). The estimate of QAL...
We consider the finite sample performance of a new nonparametric method for bioassay and benchmark analysis in risk assessment, which averages isotonic MLEs based on disjoint subgroups of dosages, and whose asymptotic behavior is essentially optimal (Bhattacharya and Lin, Stat Probab Lett 80:1947–1953, 2010). It is compared with three other methods, including the leading kernel-based method, called...
In this paper, we consider experimental situations where a main effects plan is to be used to study m two-level factors using n runs which are partitioned into b blocks of equal size k = n/b. It is shown that when and k > 2, the best possible design under the D-optimality criterion does not necessarily have all factors orthogonal to blocks. In such situations, an alternative...
By choosing a species sampling random probability measure for the distribution of the basis coefficients, a general class of nonparametric Bayesian methods for clustering of functional data is developed. Allowing the basis functions to be unknown, one faces the problem of posterior simulation over a high-dimensional space of semiparametric models. To address this problem, we propose a novel Metropolis-Hastings...
Two-dimensional gel electrophoresis is a biochemical technique that combines isoelectric focusing and SDS-polyacrylamide gel technology to achieve simultaneous separation of protein mixtures on the basis of isoelectric point and molecular weight. Upon staining, each protein on a gel can be characterized by an intensity measurement that reflects its abundance in the mixture. These can then conceptually...
A detailed study of the asymptotic efficiency of the spatial median under elliptically symmetric distributions is presented. In particular, it is shown that its asymptotic relative efficiency with respect to an affinely equivariant version of the spatial median does not exceed one, and consequently the spatial median is asymptotically inadmissible at elliptical distributions. The degree of the inefficiency...
In this paper a finite capacity, loss and delay, interdependent queueing system with controllable arrival rates and no passing has been considered. For this model, the steady state probabilities are derived and the average waiting times for the two types of customers (elective and emergency) are obtained for varying arrival rates when the arrival and service processes are interdependent. Numerical...
In this paper we address two inferential aspects of noise multiplied magnitude microdata. First, in the context of disclosure risk assessment of tabular magnitude data, we study the consequences of noise multiplication when an intruder tries to speculate a target unit’s value in a cell based on knowledge of the perturbed cell total and values of some units within the cell. This is related to some...
In this paper we consider the Bayesian inference of the unknown parameters of the progressively censored competing risks data, when the lifetime distributions are Weibull. It is assumed that the latent cause of failures have independent Weibull distributions with the common shape parameter, but different scale parameters. In this article, it is assumed that the shape parameter has a log-concave prior...
Assuming that income is lognormal distributed, we obtain the estimator of the parameter explicitly based on selected order statistics from grouped data, and having the Gini coefficient from it. The estimator from grouped data is useful because grouped data are simply treated and available also in developing countries. It can be used in a similar way as the maximum likelihood estimator. The paper proposes...
A new distribution is proposed for modeling lifetime data. It has better hazard rate properties than the gamma, lognormal and the Weibull distributions. A comprehensive account of the mathematical properties of the new distribution including estimation and simulation issues is presented. A real data example is discussed to illustrate its applicability.
The concept of “signature” is a useful tool to study the reliability properties of a coherent system. In this paper, we consider a coherent system consisting of n components and assume that the system is not working at time t. Mixture representations of the inactivity times (IT) of the system and IT of the components of the system are obtained under different scenarios on the signatures of the system...
In this paper we consider one-way random effects analysis of variance model and examine the concept of sufficiency while comparing different allocation designs for the observations under the model. We explicitly provide the transformation leading to sufficiency of ‘optimal’ allocations as characterized in DeGroot (Ann Inst Stat Math 18:13–28, 1966) and Stepniak (Ann Inst Stat Math 34:175–180, 1982).
The concept of generalized pivotal quantity (GPQ) and generalized p-value (GPV) have recently become popular in small-sample inferences for complex problems such the Behrens–Fisher problem. These techniques have been shown to be efficient in specific distributions by using MLEs. In this paper, we extend the current literature in two directions; first, we propose a unified approach for constructing...
Search designs were first introduced by Srivastava (1975) in order to address the problem of identifying a set of possibly non-negligible interactions. In this paper search designs for 2-level symmetric factorials are considered under the effect hierarchy principle and under a special structure. We provide designs for searching at most three two-factor interactions. Using Hadamard matrices, constructions...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.