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51.
Mohammad Fraiwan Al-Saleh 《统计学通讯:理论与方法》2013,42(7):1433-1439
In this article, we address the similarity structure between pairs of order statistics of an identically distributed independent random variables X1,…, Xn. The overlapping coefficient (Δ) of Weitzman (1970), is used to assess the degree of similarity or closeness between pairs of order statistics. It appears that the degree of the similarity between any of such pairs is independent of the parent distribution. Using this notion, it is shown that for i < j, the degree of similarity between distributions of the ith and the jth order statistics decreases as i and j sunder. Some possible biometric applicability of the value of Δ are explored. In particular, the use of this measure in estimation of the number of possible strata, subgroups or natural subdivisions in a population are suggested. 相似文献
52.
Mohammad Z. Raqab 《统计学通讯:理论与方法》2013,42(7):1367-1380
In this article, we obtain sharp distribution-free bounds for the expected value of the gap between the current records and record values as well as upper sharp bounds for the spacings between any two upper current records. We also present two-sided bounds on the errors in approximating the means of current records by inverse hazard functions. 相似文献
53.
Mohammad Z. Raqab 《Statistics》2013,47(1):29-41
In this paper, we consider the generalized exponential distribution (GED) with shape parameter α. We establish several recurrence relations satisfied by the single and the product moments for order statistics from the GED. The relationships can be written in terms of polygamma and hypergeometric functions and used in a simple recursive manner in order to compute the single and the product moments of all order statistics for all sample sizes. 相似文献
54.
Often, in reliability theory, risk analysis, renewal processes and actuarial studies, mean residual life function or life expectancy plays an important role in studying the conditional tail measure of lifetime data. In this paper, we introduce the notion of the mean residual waiting time of records and present some monotonic and aging properties. Sharp bounds for the mean residual waiting time of records are also investigated. 相似文献
55.
Samawi (1999) showed that the efficiency of Monte Carlo methods of integrals estimation can be substantially improved by using ranked simulated samples (RSIS) in place of uniform simulated samples (USIS). However, in this paper it is shown that substantial improvement of efficiency can be achieved further by using the steady state ranked simulated sample (SRSIS). It appears that the modified Monte Carlo methods using SRSIS provide unbiased and more efficient estimators for the integrals. Some theoretical properties of SRSIS are given. A simulation study is conducted to compare the performance of the methods using SRSIS with respect to USIS, for some examples. 相似文献
56.
Mohammad Jafari Jozani 《Statistics》2013,47(3):552-557
In this note, we consider the problem of estimating an unknown parameter θ in the sense of the Pitman's measure of closeness (PMC) using the balanced loss function (BLF). We show that the PMC comparison of estimators under the BLF can be reduced to the PMC comparison under the usual absolute error loss. The Pitman-closest estimators of the location and scale parameters under BLF are also characterized. Illustrative examples are given to show the broad range applications of the obtained results. 相似文献
57.
58.
Simple nonparametric estimates of the conditional distribution of a response variable given a covariate are often useful for
data exploration purposes or to help with the specification or validation of a parametric or semi-parametric regression model.
In this paper we propose such an estimator in the case where the response variable is interval-censored and the covariate
is continuous. Our approach consists in adding weights that depend on the covariate value in the self-consistency equation
proposed by Turnbull (J R Stat Soc Ser B 38:290–295, 1976), which results in an estimator that is no more difficult to implement
than Turnbull’s estimator itself. We show the convergence of our algorithm and that our estimator reduces to the generalized
Kaplan–Meier estimator (Beran, Nonparametric regression with randomly censored survival data, 1981) when the data are either
complete or right-censored. We demonstrate by simulation that the estimator, bootstrap variance estimation and bandwidth selection
(by rule of thumb or cross-validation) all perform well in finite samples. We illustrate the method by applying it to a dataset
from a study on the incidence of HIV in a group of female sex workers from Kinshasa. 相似文献
59.
Mohammad Z. Raqab Mohamed T. Madi 《Journal of statistical planning and inference》2011,141(10):3313-3322
In this paper, and based on a progressive type-II censored sample from the generalized Rayleigh (GR) distribution, we consider the problem of estimating the model parameters and predicting the unobserved removed data. Maximum likelihood and Bayesian approaches are used to estimate the scale and shape parameters. The Gibbs and Metropolis samplers are used to predict the life lengths of the removed units in multiple stages of the progressively censored sample. Artificial and real data analyses have been performed for illustrative purposes. 相似文献
60.
This paper considers the problem of analysis of covariance (ANCOVA) under the assumption of inverse Gaussian distribution for response variable. We develop the essential methodology for estimating the model parameters via maximum likelihood method. The general form of the maximum likelihood estimator is obtained in color closed form. Adjusted treatment effects and adjusted covariate effects are given, too. We also provide the asymptotic distribution of the proposed estimators. A simulation study and a real world application are also performed to illustrate and evaluate the proposed methodology. 相似文献