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Austrian J. Information matrices for normal and Laplace mixtures with S. A truncated Pareto distribution with Nadarajah. Computer Communications, 30 1 , , Skew-symmetric reflected distributions with Woo. Soochow Journal of Mathematics, 32 2 , , Par metric and non-parametric estimation for right truncated exponential distribution with Nadarajah. Exponentiated Weibull Distribution with Pal and Woo. Bayesian multiple comparisons with nonparametric Dirichlet process priors for negative binomial populations with Cho and Begum.

Pakistan Journal of Statistics, 22 2 , , Distribution of the ratio of generalized uniform variates with Woo and Pal. Pakistan Journal of Statistics, 22 1 , , A truncated Pareto distribution with S. Computer Communications, accepted for publication, Some skew-symmetric double inverted distributions with J.

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Exponentiated Weibull distribution with M. Pal and J. Statistica, , to appear. Some exponentiated distributions with M. Woo , Korean Commun. Skewed reflected distributions generated by reflected gamma kernel with M. Woo , to be submitted, Skewed reflected distributions generated by reflected Laplace kernel witl M. Being submitted, Derivation of product and ratio of the elliptically symmetric Laplace distribution with. Nonparametric Bayesian multiple comparison for geometric populations with J. Cho and M. Begum , Pakistan Journal of Statistics, Vol. Nonparametric Bayesian multiple comparisons for dependence parameter in bivariate exponential populations with J.

A skewed truncated Cauchy distribution with applications in economics with S. Mathematical and Computer Modelling, Under review. Pal , Amer. The distribution of sums, products and ratios for Lawrance and Lewis's Bivariate exponential distribution with S.

Nadarajah , Computational Statistics and Data Analysis, 50, , Inference for reliability of a Burr distribution with J. Woo and S. Information matrices for some bivariate gamma distributions with S. Parametric and non-parametric estimation for right-truncated exponential distribution with J. An alternative inverse Gaussian distribution with S. Nadarajah and M. Calcutta Statistical Association Bulletin, under review, Reliability Engineering and System Safety, under review, Distribution of the ratio of generalized uniform variates with J.

Submitted for publication, Stochastic orderings of integer valued random variables with Woo, J. Bootstrapping Regression Residuals with R. Journal of the Korean Statistical Society, under review. Mathematical and Computer Modelling, 41, , Nadarajah and J. Korean Statist. Brazilian J. Under review, On the ratio of Weibull random variables with S. Skew-symmetric reflected distributions with J. Soochow J. Jackknife estimation in a right truncated Rayleigh distribution with Woo and Pal , to be submitted, On moments of some beta-kernel distributions with J.


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Pal , To be submitted. Reliability and distribution of the ratio in a mixed distribution with J. Pal , , to be submitted. Bayesian analysis of the scale parameter in the exponential distribution with J. Nadarajah , , to be submitted.

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Moments of the sample range and midrange with J. Woo , , to be submitted. Calcutta Statist. Statistics, 39 5 , , Bayes estimators of the exponential distribution with J. Simultaneous identification of multiple outliers and high leverage points in linear regression with R.

On the product and ratio of t and Laplace random variables with S. Pakistan Journal of Statistics, 21 1 , , Moments of skewed distributions by a double Rayleigh kernel distribution with Woo, J. Jackknife estimation in a right truncated Rayleigh distribution with Woo, J. Parametric estimation in a discrete uniform distribution with Pal, M. On the product of Laplace and Bessel random variables with S. Information Sciences, 34, , Islam and M. Bayesian analysis of mean parameter in a Pareto distribution with J. Calcutta Statistical Association Bulletin, 55, On the product and the ratio of t and logistic random variables with S.

Calcutta Statistical Association Bulletin, 55, , International Journal of Statistical Sciences, 3, A skewed truncated t distribution with S. Mathematical and Computer Modelling, 40, , Approximate estimation of the shape parameter in a standard gamma distribution with J. Effects of an outlier for estimation in a uniform distribution with J.

The mean and right-tail probability estimation in a Pareto distribution with J. Journal of Statistics and Management Systems, 6 1 , , Efficient estimation of parameters of a uniform distribution in the presence of outliers with U. Dixit and J. Soochow Journal of Mathematics, 29 4 , , Woo and G.

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Estadistica, 52 , , , Estimation in an exponential distribution with common location and scale parameter with J. Calcutta Statistical Association Bulletin, 53 , , On the lower and upper percentile values of the sphericity decision rule with N. Saweris and H. Parametric estimation in the arcsine distribution with J. Pakistan Journal of Statistics, 18 1 , , On the use of Winsorized mean for truncated family of distributions under type II censoring with A. Nanthakumar and K. Skew-logistic distribution with A. Journal of Statistical Research, 35 2 , , Dirac generalization function: An alternative to the change of variable technique with S.

Bayesian estimation of mean parameter in a standard power distribution with J. Fraser's 75th Birthday ed. Right-tail probability estimation in the exponential model with J. Woo and C.

Journal of Statistical Theory and Applications

Journal of Information and Optimization Sciences, 22 2 , , Bias reducing estimators in an exponential distribution with J. II, No. I, , Interval estimation for the mean and right-tail probability in a power function distribution with J. Journal of Statistical Studies, 20, , Note on generalized power series distribution with J. Effects of an unidentified outlier for parametric estimation in a power function distribution with J.

Rio , 34 2 , , Application of neural networks in aluminum corrosion with J. Journal of Statistics and Management Systems, 3 2 , , Journal of Information and Optimization Sciences, 21 2 , , Jackknife parametric estimation in a truncated arcsine distribution with J.

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Calcutta Statistical Association Bulletin, 49 , , Quintiles for Shapiro-Francis W' statistic with M. Right-tail probability estimation in a Burr distribution with J. Handbook of Statistics Vol. Bal Krishnan and C. Elsevier Science Publishing, pages , Variances of the sample midrange and the sample median with J. Journal of Statistical Studies, 18, , Some negative binomial mixture distributions with M. Roy and S. Journal of Information and Optimization Sciences, 19 2 , , Bayes estimation of Bernoulli parameter in restricted space with J.

Journal of Statistical Research, 32 1 , , Conservative spacing for the Freshet distribution with D. Journal of Statistics and Management Systems, 1 1 , , Exterior and interior trimmed means in an exponential model with J. Journal of Statistical Studies, 17, , On approximation of n-fold convolutions of mixtures of normal distributions with Sergey Nagaev, Vladimir Chebotarev, and Anatolii Zolotukhin. Del'nevostochnyi matematicheskii sbornik, 3, , Distributions of several multivariate test criteria in the canonical correlation case under violation with N. Journal of Statistical Planning and Inference, 62, , The jackknife quasi-ranges for a truncated arcsine distribution with J.

Journal of Statistical Research, 31 1 , , Conservative spacings for the Weibull and extreme value distributions with D. Calcutta Statistical Association Bulletin, 46, , A smooth goodness-of-fit test using selected sample quantiles with Dale Umbach. Journal of the Korean Statistical Association, 25 3 , , Parametric estimation of two-parameter exponential model in the presence of unidentified outliers with Jungsoo Woo. Journal of Information and Optimization Sciences, 17, , Parametric estimates in a generalized Pareto distribution with Jungsoo Woo.

Journal of Information and Optimization Sciences, 16, , Inference based on optimal spacing: Some recent results. Unified jackknife estimation for parameter changes in the exponential distribution with Jungsoo Woo. Journal of Statistical Studies, 14, , Comparison of two estimations for population variance by concentrated criterion with Jungsoo Woo.

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Estimating functions of the parameters of normal and logistic distributions using conservative spacings with Dale Umbach. Section 4 presents some conclusions. Here, expressions concerning pf and df of X r:n are demonstrated. Therefore, the pf of X r:n can be denoted as. Using expansion of permanent in 1 , the following theorem is expressed.

From permanent expansion, we get 2. Consider 1. It can be written as. Using 7 in 6 , we get. Thus, the proof is completed. Using expansion of permanent in Theorem 2. From permanent expansion in 9 , we establish the following theorem. Using 3 in 11 , 12 is obtained. Now, results concerning to pf and df of X 1: n and X n:n are given, respectively. Suppose that three signal machines, where each one has the probability of sending an incorrect signal with 0.

Let X 1 , X 2 and X 3 be the numbers of their correct signals. So, they follow geometric distribution with probability p , which is given by.


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We showed that the pf and df of the single order statistic of random variables in the nonidentical discrete case are obtained in integral form. Also, both theoretical and numerical results concerning distributions of extreme order statistics are given. Arnold B. David H. Balasubramanian K.

Reiss R. Gan G. Khatri C. Corley H. Theory Meth. Goldie C. Maller R. A, Generalized densities of order statistics, Stat. Guilbaud O. Cao G. Vaughan R. B, , 34, Balakrishnan N. Bapat R. A, , 51, Childs A. B, , 56, Beg M. A, , 53, Cramer E. Nagaraja H. Export Citation. User Account Log in Register Help. Search Close Advanced Search Help. My Content 1 Recently viewed 1 On order statistics fr Show Summary Details. More options …. Editor-in-Chief: Seidel, Sally.

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