262 articles

A. Bandyopadhyay, G.N. Singh

Pages: 261 - 268

The present investigation is an attempt to estimate the population mean on current occasion in two-phase successive (rotation) sampling over two occasions. Utilizing information on two auxiliary variables one chain-type estimator has been proposed to estimate the population mean on the current occasion....

Mian Arif Shams Adnan, Md. Tareq Ferdous Khan, Md. Forhad Hossain, Abdullah Albalawi

Pages: 269 - 283

In this paper we have tried to present an alternative approach for two discrete distributions such as Binomial and Multinomial with a new concept of sampling having a more general form apart from the traditional methods of sampling. The existing distributions may be obtained as a special case of our...

M. Ahsanullah, V.B. Nevzorov

Pages: 284 - 287

The representation of record values based on sequences of non-identically distributed exponential random variables in terms of independent exponential summands is suggested.

Haitham M. Yousof, Ahmed Z. Afify, G. G. Hamedani, Gokarna Aryal

Pages: 288 - 305

In this paper, we introduce a new class of distributions called the Burr X family. Some of its mathematical and structural properties are derived. The maximum likelihood is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of an application...

Z. Zamani, G. R. Mohtashami Borzadaran, M. Amini

Pages: 306 - 321

Generalized order statistics unify the study of order statistics, record values, k-records, Pfeifer’s records and several other cases of ordered random variables. In this paper, we first provide several comparison results for generalized order statistics in terms of the dynamic cumulative residual quantile...

Yeh Ching Low, Seng Huat Ong, Ramesh C. Gupta

Pages: 322 - 336

In this paper, we propose a generalized form of Sichel distribution which is obtained by mixing the Poisson distribution with the extended generalized inverse Gaussian distribution. This distribution models over dispersed, zero-inflated and heavy-tailed count data sets. These characteristics are examined...

Behdad Mostafaiy, Mohammad Reza Faridrohani

Pages: 337 - 344

In the present paper, we study functional varying coefficient model in which both the response and the predictor are functions. We give estimates of the intercept and the slope functions in the case that the observations are sparse and noise-contaminated longitudinal data by using least squares representation...

Md Sazib Hasan, K. Krishnamoorthy

Pages: 345 - 353

The problem of estimating the ratio of coefficients of variation of two independent lognormal populations is considered. We propose two closed-form approximate confidence intervals (CIs), one is based on the method of variance estimate recovery (MOVER), and another is based on the fiducial approach....

Yuri A. Iriarte, Juan M. Astorga, Osvaldo Venegas, Héctor W. Gómez

Pages: 354 - 365

The problem of estimating the ratio of coefficients of variation of two independent lognormal populations is considered. We propose two closed-form approximate confidence intervals (CIs), one is based on the method of variance estimate recovery (MOVER), and another is based on the fiducial approach....

Mohammad Reza Mahmoudi, Javad Behboodian, Mohsen Maleki

Pages: 366 - 374

In a number of situations, for example in biology, psychology and neurosciences, researchers are interested in the ratio of two measured quantities. In this paper, we give an overview of different methods to constructing confidence limits for the ratios. Then by using the limiting theorems, a pivotal...

Mohalilou Aleiyouka, Alexandre Berred, Mohammad Ahsanullah

Pages: 375 - 381

The tail dependence describes the limiting proportion of exceeding one margin over a certain threshold given that the other margin has already exceeded that threshold. In this paper, we obtain the limit tail dependence coefficient for the generalized hyperbolic distribution.

Morad Alizadeh, Gamze Ozel, Emrah Altun, Mousa Abdi, G.G. Hamedani

Pages: 382 - 400

A new three parameter model called the odd log-logistic Marshall-Olkin-Lindley (OLLMO-L) distribution is proposed and studied. This distribution is symmetric, platykurtic, leptokurtic and unimodal. Various structural properties are derived, including explicit expressions for the ordinary and conditional...

Gauss M. Cordeiro, Thiago G. Ramires, Edwin M.M. Ortega, Morad Alizadeh

Pages: 401 - 418

First we introduce and study some general mathematical properties of a new generator of continuous distributions with two extra shape parameters called the odd generalized half-Cauchy family. A second goal, we introduce the new log-generalized odd half-Cauchy heteroscedastic regression model with censored...

Mohammad Ahsanullah, Valery B. Nevzorov

Pages: 419 - 426

Understanding the properties of Skew distributions is important in many statistical applications. The Student-t distribution is widely used in statistics. Skew-t distribution is a useful model to describe data with heavy tails. In this paper several distributional properties of Skew-t distribution are...

Laba Handique, Subrata Chakraborty, G.G. Hamedani

Pages: 427 - 447

A new family of continuous probability distributions is proposed by using Kumaraswamy-G distribution as the base line distribution in the Marshall-Olkin construction. A number of known distributions are derived as particular cases. Various properties of the proposed family like formulation of the pdf...

Haitham M. Yousof, Ahmed Z. Afify, Gauss M. Cordeiro, Ayman Alzaatreh, Mohammad Ahsanullah

Pages: 448 - 466

We introduce a new four-parameter distribution with constant, decreasing, increasing, bathtub and upside-down bathtub failure rate called the transmuted exponentiated generalized Weibull model. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments,...

Pulakesh Maiti

Pages: 467 - 475

We study an interactive linear model that incorporates investigator and/or supervisor interventions in the context of a two-stage sampling design. We obtain an unbiased estimator of the finite population total and derive an unbiased estimator of its variance. Our method builds on Sinha and Maiti (2014),...

Surya K. Pal, Housila P. Singh

Pages: 476 - 489

This paper advocates the problem of estimating the population mean on the current occasion in two occasion successive (rotation) sampling under the transformed auxiliary variable using exponential method of estimation. Four different type estimators are suggested for estimating the current population...

M. Mansoor, M. H. Tahir, Gauss M. Cordeiro, Ayman Alzaatreh, M. Zubair

Pages: 490 - 507

In this paper, a new family of distributions is proposed by using quantile functions of known distributions. Some general properties of this family are studied. A special case of the proposed family is studied in detail, namely the Lomax-Weibull distribution. Some structural properties of the special...

Ginto Jacob Pottackal, Thomas Mathew

Pages: 508 - 521

Average biosimilarity is investigated under a three-arm parallel design: one arm corresponds to the test drug T , and the other two arms correspond to two versions of the reference drug, say R1 and R2. The hypothesis of interest is the equivalence of the population average response for T with the mean...

H. Najarzadegan, M. H. Alamatsaz

Pages: 522 - 546

Discrete distributions are widely used to model lifetime for count data. In this paper we introduce a new generalization of weighted geometric (GWG) distribution with the weight function w(x) = (1−p^{αx})^β whose special case proposes a discrete generalized weighted exponential distribution. Further,...

Elizabeth M. Hashimoto, Edwin M.M. Ortega, Gauss M. Cordeiro, G.G. Hamedani

Pages: 547 - 564

In this paper, we formulate and develop a log-linear model using a new distribution called the log-gammalogistic. We show that the new regression model can be applied to censored data since it represents a parametric family of models that includes as sub-models several widely-known regression models...

A. Chatterjee, G.N. Singh, A. Bandyopadhyay

Pages: 565 - 575

This article deals with the problems of efficient estimation of population variance in two-phase (double) sampling. Using information on two auxiliary variables, a class of chain exponential to regression type estimators has been proposed and its properties are studied under two different structures...

Munindra Borah, Junali Hazarika

Pages: 576 - 588

A new two parameter quasi Poisson Lindley (NQPL) distribution is derived by using the general approach of compounding. One parameter Lindley distribution and geometric distribution may be obtained as a particular case. The new distribution is shown to be unimodal and overdispersed. A few distributional...

Fatih Kızılaslan

Pages: 589 - 604

In this paper, the Fisher information matrix (FIM) contained in n record values is considered for the two parameter distributions belong to the exponentiated and inverse exponentiated class of distributions. The problem of existence and uniqueness of the maximum likelihood estimates of the parameters...

Mukhtar M. Salah

Pages: 1 - 14

This paper studies the Bayes estimator, the maximum likelihood estimator and the approximate likelihood estimator of the scale parameter for the Marshall-Olkin exponential distribution under the progressive type-II censored sample. All the estimators, Bayes estimator, maximum likelihood estimator and...

Saeid Tahmasebi, Ahmad Nezakati, Safeih Daneshi

Pages: 15 - 28

In this paper, we propose cumulative measure of inaccuracy in lower record values and study characterization results in case of dynamic cumulative inaccuracy. We also discuss some properties of the proposed measures. Finally, we study a problem of estimating the cumulative measure of inaccuracy by means...

Narges Ahmadzadehgoli, Adel Mohammadpour, Mohammad Hassan Behzadi

Pages: 29 - 38

Clustering is a well-known approach in data mining, which is used to separate data without being labeled. Some clustering methods are more popular such as the k-means. In all clustering techniques, the cluster centers must be found that help to determine which object is belonged to which cluster by measuring...

M. Ganji, F. Gharari

Pages: 39 - 58

In this paper we use discrete fractional calculus for showing the existence of delta and nabla discrete distributions and then apply time scales for definition of delta and nabla discrete gamma distributions. The main result of this paper is unification of the continuous and discrete gamma distributions,...

Selen Cakmakyapan, Gamze Ozel, Yehia Mousa Hussein El Gebaly, G. G. Hamedani

Pages: 59 - 76

In this paper, we define and study a new lifetime model called the Kumaraswamy Marshall-Olkin log-logistic distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. The new model contains some well-known distributions as special cases such...

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,...

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.

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...

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...

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...

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...

Amadou Diadié Ba, Gane Samb LO, Diam Ba

Pages: 158 - 171

We deal with the normality asymptotic theory of empirical divergences measures based on wavelets in a series of three papers. In this first paper, we provide the asymptotic theory of the general of ϕ-divergences measures, which includes the most common divergence measures : Renyi and Tsallis families...

Mervat Mahdy

Pages: 172 - 192

The paper opens up a new aging class and a new stochastic orders which is depend on risk class, that plays vital role in the reliability theory, finance topics, stochastic orders, and the economic theory. The article presents some new interesting implications and characterizations concerning this class....

DAS Fraser

Pages: 193 - 205

The foundations of statistics have evolved over many centuries, perhaps millennia, with major paradigm shifts of the form described in Kuhn (1962). We briefly consider these important transitions and how they have led to major shifts in the foundations of statistical inference. Clearly there is no conventional...

I.V. BELKOV, M. AHSANULLAH, V. B. NEVZOROV

Pages: 206 - 212

The representations of record ranges via sums of independent identically distributed exponential random variables are obtained for asymmetrical Laplace distributions. This result generalizes the corresponding relations for record values in the cases of exponential and negative exponential distributions

Ahmed Z. Afify, Mohamed Zayed, Mohammad Ahsanullah

Pages: 213 - 229

We introduce a new three-parameter extension of the exponential distribution called the odd exponentiated half-logistic exponential distribution. Various of its properties including quantile and generating functions, ordinary and incomplete moments, mean residual life, mean inactivity time and some characterizations...

Avishek Mallick, Indranil Ghosh, G. G. Hamedani

Pages: 230 - 241

Explicit expressions for the densities of S = X1 + X2 , D = X1 − X2 , P = X1X2 and R = X1/X2 are derived when X1 and X2 are independent or sub-independent Kumaraswamy random variables. The expressions appear to involve the incomplete gamma functions. Some possible real life scenarios are mentioned in...

Mohamed A. W. Mahmoud, Rashad M. EL-Sagheer, Amr M. Abou-Senna

Pages: 242 - 260

Accelerated life testing is very important in life testing experiments because it saves time and cost. In this paper, assuming that the lifetime of items under use condition follows the modified Weilbull distribution, partially accelerated life tests based on progressive Type-II censored samples are...

Mostafa Tamandi

Pages: 261 - 270

Marshall and Olkin [Biometrika199784641652] introduced a method for constructing a new distribution by adding a new parameter, called tilt parameter, to a parent distribution. It is observed that adding this parameter leads to a more flexible model than the parent model. In this paper, different estimators...

Parthasarathi Chakrabarti, Uttam Bandyopadhyay

Pages: 271 - 282

This paper considers simple tree order restriction in 2×k cohort study and provides a consistent test in which the usual multiple comparison test statistics are modified by using the characteristic roots of a consistent estimator of the associated correlation matrix. The relevant performance measures...

Muhammad Nouman Qureshi, Sadia Khalil, Muhammad Hanif

Pages: 283 - 290

In sample surveys, collection of auxiliary information together with the main variable of interest is very important to increase the efficiency of the estimators of population parameters of interest. Regression and ratio estimation are very popular and are widely used methods that benefit from the use...

Keyu Nie, Bikas.K. Sinha, A.S. Hedayat

Pages: 291 - 306

Pitman closeness criterion is a coverage probability-based criterion to examine the relative performances of estimators. Usually, the performance of the standard Graybill-Deal estimator of the common mean has been examined with respect to the mean squared error (variance). In this study we examine its...

STANLEY L. SCLOVE

Pages: 307 - 323

Consider the problem of modeling datasets such as numbers of accidents in a population of insured persons, or incidences of an illness in a population. Various levels of detail or granularity may be considered in describing the parent population. The levels used in fitting data and hence in describing...

S.K. Ghoreishi

Pages: 324 - 339

In this paper, we first propose a class of bivariate shrinkage estimators based on Steins unbiased estimate of risk (SURE). Then, we study the effect of correlation coefficients on their performance. Moreover, under some mild assumptions on the model correlations, we set up the optimal asymptotic properties...

Somayeh Mireh, Ahmad Khodadadi, Firoozeh Haghighi

Pages: 340 - 358

The step-stress accelerated degradation test (SSADT) is one of the most commonly used time-dependent types of stress loading tests that enables a shorter test duration. This test is more economical and flexible compared to accelerated degradation test or accelerated failure time (ADT/AFT) test plans....