293 articles

S. Izadkhah, M. Amini, G.R. Mohtashami Borzadaran

Pages: 76 - 88

The hazard rate order between two weighted distributions with a given weight function is considered as a new stochastic order called weighted hazard rate order. The influences of biased sampling methods on properties of the hazard rate order are usefully pointed out with this weighted order. We first...

Abdelfattah Mustafa, Beih S. El-Desouky, Shamsan AL-Garash

Pages: 77 - 90

In this article we introduce a new four - parameters model called the odd generalized exponential flexible Weibull extension (OGE-FWE) distribution which exhibits bathtub-shaped hazard rate. Some of it’s statistical properties are obtained including ordinary and incomplete moments, quantile and mode,...

Masoud Ganji, Roghayeh Mostafayi

Pages: 79 - 86

We consider a sequence of independent random variables X1,X2,…,Xm,…,Xnn≥3 exhibiting a change in the probability distribution of the data generating mechanism. We suppose that the distribution changes at some point, called a change point, to a second distribution for the remaining observations. We propose...

Anu Chhabra, B.K. Dass, Samridhi Mehta

Pages: 80 - 95

Sihm et al. (2014) introduced modified optional unrelated question RRT model in both binary and quantitative response situations wherein the prevalence of the sensitive variable and the sensitivity level of the underlying sensitive question could be estimated simultaneously without using a split sample...

K. Fathi, S.F. Bagheri, M. Alizadeh, M. Alizadeh

Pages: 81 - 95

The exponentiated Gumbel model has been shown to be useful in climate modeling including global warming problem, flood frequency analysis, offshore modeling, rainfall modeling and wind speed modeling. Here, we consider estimation of the PDF and the CDF of the exponentiated Gumbel distribution. The following...

A.K.P.C. Swain, Sitanshu Shekhar Mishra, B.K. Pradhan

Pages: 83 - 91

Some predictive ratio type estimators in two stage sampling are derived following the model free predictive criterion proposed by Basu (1971) and these estimators are compared with the classical multistage ratio estimator and also with Smith’s (1969) multistage ratio estimator. A numerical illustration...

Hans Volkmer

Pages: 83 - 85

It is shown that the normal distribution with mean zero is characterized by the property that the product of its characteristic function and moment generating function is equal to 1.

Gauss M. Cordeiro, Antonio C.R. Braga Junior, Clarice G.B. Demétrio, Edwin M.M. Ortega, Rodrigo R. Pescim

Pages: 86 - 104

We study some mathematical properties of the Kumaraswamy modified Weibull distribution pioneered by Cordeiro et al. [4] not discussed by these authors. This model is quite flexible for analyzing positive data since it contains as special models some widely-known distributions, such as the KumaraswamyWeibull,...

O. Kharazmi, M. Zargar

Pages: 87 - 102

In the present paper, we first consider a generalization of the standard two-sided power distribution so-called the transmuted two-sided distribution, and then extend proposed idea to generalized two-sided class of distributions, introduced by Korkmaz and Genç [1]. Some statistical and reliability properties...

Abouzar Bazyari

Pages: 89 - 106

.Problems concerning estimation of parameters and determination the statistic, when it is known a priori that some of these parameters are subject to certain order restrictions, are of considerable interest. In the present paper, we consider the estimators of the monotonic mean vectors for two dimensional...

Israa Abdzaid Atiyah, Adel Mohammadpour, Narges Ahmadzadehgol, S. Mahmoud Taheri

Pages: 91 - 101

In this work, a fuzzy clustering algorithm is proposed based on the asymmetric loss function instead of the usual symmetric dissimilarities. Linear Exponential (LINEX) loss function is a commonly used asymmetric loss function, which is considered in this paper. We prove that the negative likelihood of...

Sobita Sapam, B. K. Sinha, N.K. Mandal

Pages: 91 - 100

In the present paper an attempt has been made to study the inter–and intra-block estimation of treatment effects contrasts with random block effects in the context of balanced ternary designs. The analysis is illustrated through examples.

Elsayed A.H. Elamir

Pages: 92 - 105

Multiplicative-binomial distribution is one of the distributions that allows for over-dispersion and under-dispersion relative to the standard binomial distribution. It will be shown that the multiplicative-binomial distribution can be a very useful model for these situations. Moreover, the confidence...

Fanny Leroy, Jean-Yves Dauxois, Pascale Tubert-Bitter

Pages: 96 - 107

We investigate the parametric maximum likelihood estimator for truncated data when the truncation value is different according to the observed individual or item. We extend Lehmann’s proof (1983) of the asymptotic properties of the parametric maximum likelihood estimator in the case of independent nonidentically...

M. A. Chowdhury, S. Mandal, D. K. Ghosh, S. C. Bagui

Pages: 96 - 107

Mukerjee (1979) introduced structure (*k*) property of a factorial design. In this article, we introduce structure (*k*_{1}), structure (*k*_{2}) and structure (*k*_{1}*k*_{2}) properties of a factorial design. We establish properties of each of...

C. Satheesh Kumar, M.R. Anusree

Pages: 101 - 121

Through this chapter, we introduce a new class of two-piece asymmetric normal distribution suitable for asymmetric and plurimodal situations. We study some important aspects of this distribution by deriving explicit expressions for its distribution function, characteristic function, reliability measures...

Anwar Hassan, Gulzar Ahmad Shalbaf, Sheikh Bilal, Adil Rashid

Pages: 102 - 108

In this paper we have explored a new discrete probability mass function that has been generated through compounding mechanism. This newly proposed probability mass function is essentially a mixture of Poisson and Ailamujia distribution. Furthermore the parameter estimation has also been discussed by...

Shahjahan Khan, Budi Pratikno, Shafiqur Rahman, M. Zakir Hossain

Pages: 103 - 112

The data generated by many factorial experiments are analyzed by linear regression models. Often the higher order interaction terms of such models are negligible (e.g., R. Mead, The Design of Experiments, Cambridge University Press, Cambridge, 1988, p. 368) although there is uncertainty around it. This...

Z. Javanshiri, M. Maadooliat

Pages: 105 - 110

The distributions taken up in two recently published papers are compared and certain characterizations of them are presented. These characterizations are based on: (i) a simple relationship between two truncated moments; (ii) truncated moments of certain functions of the nth order statistic; (iii) truncated...

M.A.W. Mahmoud, M.E. Moshref, A.M. Gadallah, A.I. Shawky

Pages: 106 - 119

In this article we introduce new classes of life distributions namely new better (worse) than used in expectation at specific age t0 NBUE-t0 (NWUE-t0) and harmonic new better (worse) than used in expectation at specific age t0 HNBUE-t0 (HNWUE-t0). The closure properties under various reliability operations...

Rashad Mohamed EL-Sagheer, Mohamed Ahsanullah

Pages: 107 - 122

This paper considers inference under progressive type-II censoring scheme with a compound Rayleigh failure time distribution. The maximum likelihood (ML) and the Bayes estimators for the two unknown parameters of the compound Rayleigh distribution (CRD) distribution are derived. A Bayesian approach using...

Firoozeh Rivaz, Majid Jafari Khaledi

Pages: 108 - 116

This paper introduces a multivariate skew Gaussian process and uses it to extend the family of multivariate spatial generalized linear mixed models to include skew Gaussian random effects. In this setting, the param- eter estimation encounters problems because the likelihood function involves high dimensional...

Abbas Rasouli, S. Samadi, Mohammad Ahsanullah

Pages: 108 - 114

Let *X*_{1},..., *X*_{n} be a random sample from an absolutely continuous (with respect to Lebesgue measure) distribution with the corresponding generalized order statistics *X*(1, *n*, *m*^{~}, *k*),..., *X*(*n*, *n*, *m*^{~},...

A. Adatia, A.K.MD. Ehsanes Saleh

Pages: 109 - 117

The ranked-set sampling technique has been generalized so that a more efficient estimator may be obtained. This technique allows more than one unit from each set to be quantified. Consequently, the number of units to be sampled may be reduced significantly and as a result, the corresponding cost would...

M.M. Mohie El-Din, S.E. Abu-Youssef, M.KH. Hassan

Pages: 111 - 121

In this paper, the problem of testing exponentiality against used better than aged in convex ordering classes of life distributions is investigated. For this property a nonparametric test is presented based on kernel method. The test is presented for complete and right censored data. Furthermore, Pitman's...

Amadou Diadié Bâ, Gane Samb Lo, Diam Bâ

Pages: 113 - 122

In the two previous papers of this series, the main results on the asymptotic behaviors of empirical divergence measures based on wavelets theory have been established and particularized for important families of divergence measures like Rényi and Tsallis families and for the Kullback-Leibler measures....

G.G. Hamedani, Miroslav M. Ristić

Pages: 115 - 124

Moments of the *m*^{th} upper record value *X*_{U(m)}, *m*≥1, and the joint moments of the *m*^{th} and *n*^{th} upper record values *X*_{U(m)} and *X*_{U(n)}, *n*>*m*≥1,...

Muhammad Tahir, Muhammad Aslam, Zawar Hussain

Pages: 117 - 136

Since the last few decades, constructing flexible parametric classes of probability distributions has been the most popular approach in the Bayesian analysis. As compared to simple probability models, a mixture model of some suitable lifetime distributions may be more capable of capturing the heterogeneity...

Hadi Saboori, Ghobad Barmalzan, Mahdi Doostparast

Pages: 118 - 132

The traditional estimation of Mixture regression models is based on the normal assumption of component errors and thus is sensitive to outliers and heavy-tailed errors. In this paper, we propose a robust Mixture regression models in which a mixture of slash distributions is assumed for the errors. Using...

Vikas Kumar, Richa Thapliyal, H.C. Taneja

Pages: 120 - 128

The present communication considers a discrete dynamic measure of inaccuracy between two residual and past lifetime distributions. Under the assumption that the true distribution F and reference distribution G satisfy the proportional hazard model (PHM) and proportional reversed hazard model (PRHM),...

Abbas Pak, Mohammad Reza Mahmoudi

Pages: 122 - 135

Traditional statistical approaches for estimating the parameters of Lomax distribution have dealt with precise information. However, in real world situations, some information about an underlying system might be imprecise and are represented in the form of fuzzy information. In this paper, we consider...

Indranil Ghosh

Pages: 122 - 134

In this article, based on the half-Cauchy distribution, we propose a new distribution called Kumaraswamy- Half-Cauchy distribution. Various explicit expressions for it’s moments, generating and quantile functions, mean deviations, reliability parameter, density function of the order statistics and their...

Jagdish Saran, Narinder Pushkarna, Rashmi Tiwari

Pages: 123 - 130

In this paper we derive some general recurrence relations between single and product moments of dual gener- alized order statistics from a general class of distributions, thus generalizing and unifying the earlier results in this direction due to several authors.

A. Toomaj, A. Shirvani

Pages: 123 - 128

In this paper, we investigate some new properties of the mean vitality function (MVF) of a random variable, proposed by A. Toomaj, M. Doostparast, J. Stat. Theory Appl. 13 (2013), 189–195. Specifically, we explore properties of MVF and study under what conditions the MVF of the first-order statistics...

I. Elbatal, M.M. Mansour, Mohammad Ahsanullah

Pages: 125 - 141

In this paper, we introduce a new class of lifetime distributions which is called the additive Weibull geometric (AWG) distribution. This distribution obtained by compounding the additive Weibull and geometric distributions. The new distribution has a number of well-known lifetime special sub-models...

Haseeb Athar, Nayabuddin, Saima Zarrin

Pages: 129 - 135

A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641–652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall–Olkin extended distribution. In this paper some recurrence relations for marginal and joint moment generating...

Marcelo Bourguignon, Rodrigo B. Silva, Luz M. Zea, Gauss M. Cordeiro

Pages: 129 - 144

The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Pareto distribution, is introduced and studied. The new distribution can have a decreasing and upside-down bathtub failure...

Hani M. Samawi, Lili Yu, Robert Vogel

Pages: 131 - 155

Correlated or matched data is frequently collected under many study designs in applied sciences such as the social, behavioral, economic, biological, medical, epidemiologic, health, public health, and drug developmental sciences in order to have more efficient design and to control for potential confounding...

Zubair Ahmad, Eisa Mahmoudi, Sanku Dey, Saima K. Khosa

Pages: 133 - 147

In actuarial literature, we come across a diverse range of probability distributions for fitting insurance loss data. Popular distributions are lognormal, log-t, various versions of Pareto, log-logistic, Weibull, gamma and its variants and a generalized beta of the second kind, among others. In this...

Devendra Kumar

Pages: 135 - 150

In this paper, explicit expressions and some recurrence relations are derived for marginal and joint moment generating functions of generalized order statistics from extended type II loglogistic distribution. Further the results are deduced for moments of k -- th record values and ordinary order statistics.

Adarsha Kumar Jena, Manas Ranjan Tripathy

Pages: 136 - 145

Estimation of quantiles of two exponential populations is considered assuming equality of location parameters using censored samples from a decision theoretic point of view. Sufficient conditions for inadmissibility of estimators in certain classes have been derived. Consequently some complete class...

Soumita Modak, Uttam Bandyopadhyay

Pages: 136 - 146

This paper provides a nonparametric test for the identity of two multivariate continuous distribution functions when they differ in locations. The test uses Wilcoxon rank-sum statistics on distances between observations for each of the components and is unaffected by outliers. It is numerically compared...

Saman Hanif Shahbaz, Mohammad Ahsanullah, Muhammad Qaiser Shahabaz

Pages: 137 - 149

We present recurrence relations for single, inverse, product and ratio moments of Generalized Order Statistics when sample is available from an Inverse Weibull Distribution. These relations enable computation of higher order moments using corresponding lower order moments. Some Characterizations of the...

Ehsan Zamanzade, Mohammad Mohammadi

Pages: 142 - 152

In this paper we modify nonparametric regression-based mean estimators in ranked set sampling using a covariate. We will show that our modified mean estimators perform well in comparison with their leading competitors.

Karima Lagha, Smail Adjabi

Pages: 145 - 151

In this note, we establish a law of iterated logarithm for a triangular array of a random number of independent random variables and apply it to obtain laws of iterated logarithm for the sequential nonparametric density estimators. We consider the case of Rosenblatt-Parzen kernel estimators and orthogonal...

A.R. Shafay, M.M. Mohie El-Din, Y. Abdel-Aty

Pages: 146 - 157

In this paper, we consider a general form for the underlying distribution and a general conjugate prior, and develop a general procedure for Bayesian estimation based on an observed multiply Type-II censored sample. The problem of predicting the order statistics from a future sample are also discussed...

Narges Ahmadzadehgoli, Adel Mohammadpour, Mohammad Hassan Behzadi

Pages: 147 - 154

LINEX weighted k-means is a version of weighted k-means clustering, which computes the weights of features in each cluster automatically. Determining which entity is belonged to which cluster depends on the cluster centers. In this study, the asymmetric LINEX loss function is used to compute the dissimilarity...

Vida Shantia, S. K. Ghoreishi

Pages: 148 - 161

The available heteroscedastic hierarchical models perform well for a wide range of real-world data, but for the data sets which exhibit heteroscedasticity mainly due to the lack of constant means rather than unequal variances, the existing models tend to overestimate the variance of the second level...

Emílio A. Coelho-Barros, Jorge Alberto Achcar, Josmar Mazucheli

Pages: 150 - 164

This paper presents estimates for the parameters included in long-term mixture and non-mixture lifetime models, applied to analyze survival data when some individuals may never experience the event of interest. We consider the case where the lifetime data have a three-parameter Burr XII distribution,...

Majid Jafari Khaledi, Hamidreza Zareifard, Firoozeh Rivaz

Pages: 151 - 161

By assuming that an underlying Gaussian-Log Gaussian (GLG) random field clipped to yield binary spatial data, we propose a new model which provides flexibility in capturing the effects of heavy tail in latent variables. For our analysis, we adopt a Bayesian framework and develop a Markov chain Monte...