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article

Estimating the Second-Order Parameter of Regular Variation and Bias Reduction in Tail Index Estimation Under Random Truncation

Nawel Haouas, Abdelhakim Necir, Brahim Brahimi

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-33

In this paper, we proposed an estimator of the second-order parameter of randomly truncated Pareto-type distributions data and establish its consistency and asymptotic normality. Moreover, we derive an asymptotically unbiased estimator for the tail index and study its limit distribution. We show, by simulation, that the proposed estimators behave well, in terms of bias, root mean square error and...

article

Some Classes of Estimators for Sensitive Population Mean on Successive Moves

Kumari Priyanka, Pidugu Trisandhya

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-26

The present work endeavors to propose some classes of exponential-type estimators to estimate population mean of a sensitive character using a non-sensitive auxiliary information in two move successive sampling. To deal with sensitive issues, randomized response techniques have been applied. The detail properties of the proposed classes of estimators have been discussed. They are also compared with...

article

Some Variations of EM Algorithms for Marshall–Olkin Bivariate Pareto Distribution with Location and Scale

Arabin Kumar Dey, Biplab Paul

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-21

Recently, Asimit et al. have used an EM algorithm to estimate the parameters of Marshall–Olkin bivariate Pareto distribution with location and scale. The distribution has seven parameters. We describe different other variations of the EM algorithm. Numerical simulation is performed to identify the best algorithm among them. A real-life data analysis is also shown for illustrative purposes.

article

Non-negative Density Estimation via Wavelet Block Thresholding for Biased Data

Esmaeil Shirazi, Yogendra P. Chaubey

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-21

This paper considers estimation of the density function in the context of biased data using thresholded wavelet estimator. We adapt the method of estimating the square root of the density function as advocated in Pinheiro and Vidakovic (Comput Stat Data Anal 25:399–415, 1997) in the iid case. The density estimator is obtained by squaring the resulting estimator that as a result guarantees non-negativity...

article

Introducing Nonparametric Predictive Inference Methods for Reproducibility of Likelihood Ratio Tests

Filipe J. Marques, Frank P. A. Coolen, Tahani Coolen-Maturi

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-14

This paper introduces the nonparametric predictive inference approach for reproducibility of likelihood ratio tests. The general idea of this approach is outlined for tests between two simple hypotheses, followed by an investigation of reproducibility for tests between two beta distributions. The paper reports on the first steps of a wider research programme towards tests involving composite hypotheses...

article

Algebraic Characterization of $${{\mathbb {C}}}$$ C -Regular Fractions Under Level Permutations

Fabio Rapallo, Maria-Piera Rogantin

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-21

In this paper we study the behavior of the fractions of a factorial design under permutations of the factor levels. We code the s levels of a factor with the s-th roots of the unity. We focus on the notion of regular fraction in the complex coding, called $${{\mathbb {C}}}$$ C -regularity. We introduce methods to check whether a given symmetric orthogonal array can or cannot be transformed into a...

article

Approximations for the Likelihood Ratio Statistic for Hypothesis Testing Between Two Beta Distributions

Filipe Marques, Frank Coolen, Tahani Coolen-Maturi

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-24

In this paper, the likelihood ratio to test between two Beta distributions is addressed. The exact distribution of the likelihood ratio statistic, for simple hypotheses, is obtained in terms of Gamma or Generalized Integer Gamma distributions, when the first or the second of the two parameters of the Beta distributions are equal and integers. In the remaining cases addressed, near-exact or asymptotic...

article

Generalized Beta Weibull Linear Model: Estimation, Diagnostic Tools and Residual Analysis

Tiago V. F. Santana, Edwin M. M. Ortega, Gauss M. Cordeiro

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-23

We propose a new regression model based on the concepts of generalized linear models (GLMs), assuming the beta Weibull distribution. Similar to GLMs, the proposed model is called the generalized beta Weibull linear model (GBWLM). The maximum likelihood estimation of the parameters assuming the Newton–Raphson algorithm is discussed. The local influence methodology regarding three perturbation schemes...

article

A Beran-Inspired Estimator for the Weibull-Type Tail Coefficient

Tchilabalo A. Kpanzou, Kokouvi M. Gamado, Hippolyte Hounnon

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-14

Heavy-tailed distributions are used in various areas of statistical applications. An important parameter for such distributions is the tail coefficient defined as the regular variation coefficient of the inverse cumulative hazard function. Many estimators, among which perhaps the most well known is the Hill estimator, have been developed for this coefficient. However, the Hill estimator as well as improved...

article

Extension of the Parametric Delta Method with an Application to an Inference Method for a Degradation Model

Laurent Bordes, Christian Paroissin, Ali Salami

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-15

The delta method is a powerful method to approximate the probability distribution of a function $$\phi$$ ϕ of an asymptotically normal statistical estimator $$T_n$$ Tn where n is the sample size. Generally the asymptotic normality of the estimator results from central limit theorems that requires to center $$T_n$$ Tn and the function $$\phi$$ ϕ does not depend on n. In this paper, we provide an...

article

Inferences for Weibull-Exponential Distribution Based on Progressive Type-II Censoring Under Step-Stress Partially Accelerated Life Test Model

Rashad M. EL-Sagheer, Mohamed A. W. Mahmoud, Heba Nagaty

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-19

The object of this paper is to obtain point and interval estimations for the parameters of the Weibull-exponential distribution (WED) based on step-stress partially accelerated life tests model with progressive type-II censoring (PRO-II-C). Maximum likelihood (ML) and Bayes estimation method are used to estimate the unknown parameters of WED and the acceleration factor. Moreover, the approximate confidence...

article

Robustness of Nonparametric Predictive Inference for Future Order Statistics

Hana N. Alqifari, Frank P. A. Coolen

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-34

This paper considers robustness of Nonparametric Predictive Inference (NPI), in particular considering inference involving future order statistics. The concept of robust inference is usually aimed at development of inference methods which are not too sensitive to data contamination or to deviations from model assumptions. In this paper we use it in a slightly narrower sense. For our aims, robustness...

article

Estimation of Population Mean Using Imputation Methods for Missing Data Under Two-Phase Sampling Design

G. N. Singh, S. Suman

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-24

This manuscript emphasizes the estimation procedure of population mean in two-phase sampling when non-response occurs during survey in both phases of sample data. To cope with the problem of missing data, some new imputation methods have been suggested for estimating the population mean which utilize the information on two auxiliary variables. The properties of the resultant estimators are studied...

article

Least-Squares Estimation for the Subcritical Heston Model Based on Continuous-Time Observations

Mátyás Barczy, Balázs Nyul, Gyula Pap

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-25

We prove strong consistency and asymptotic normality of least-squares estimators for the subcritical Heston model based on continuous-time observations. We also present some numerical illustrations of our results.

article

Experimental analysis on the technical behavior of carbon black filled rubber blends’ rollers for rice husk removal application

P. Paramasivam, R. Ranganathan, R. Rathanasamy, G. V. Kaliyannan, more

Polimery > 2019 > T. 64, nr 1 > 50--55

In rice husk removal processes, the rubber rollers are used to produce white rice kernels. Paddies are fed between two rubber rollers and the removal of husk takes place due to high friction generated between the paddy layer and outer surface of rubber rollers. Husk removal application involves rubber compounds with promising physico-mechanical properties. Small scale rice mills in Tamil Nadu, India...

article

Synthesis of new polymers containing 1,2,3-triazole units from poly(vinylchloride) via "click” chemistry catalyzed by copper iodide and its application in extraction of nitrates and metals contained in wastewater

A. Ouerghui, M. Dardouri, N. Sleimi, A. Bel Hadj Amor, more

Polimery > 2019 > T. 64, nr 1 > 3—11

New polymers with potential application in a waste water purification from inorganic contaminants were synthesized via a chemical modification of poly(vinyl chloride) by "click” method based on copper(I)-catalyzed Huisgen reaction. The structure of the resulting polymers containing 1,4-disubstituted triazole units was confirmed by infrared spectroscopy (ATR-FTIR), nitrogen elemental analysis...

article

A New Family of Estimators for Population Mean with Dual Use of the Auxiliary Information

Ishfaq Hussain, Abdul Haq

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-19

In this paper, a new family of estimators for the population mean is proposed using supplementary information on the mean and distribution function of the auxiliary variable. The expressions for the bias and mean square error of the proposed estimator are obtained under first order of approximation. The proposed estimator is compared with the existing estimators of the population mean (theoretically...

article

Inference on Marshall–Olkin Bivariate Exponential in the Presence of Dependent Left Censoring

Nasser Davarzani, Leila Golparvar, Ahmad Parsian

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-17

This paper deals with the dependent left censoring scheme when the survival time variable and censoring variable are dependent and have Marshal–Olkin bivariate exponential distribution. We use the expectation–conditional maximization algorithm for finding the maximum likelihood estimates of the unknown parameters. From Bayesian point of view, based on a particular choice of hyperparameters of prior...

article

Estimation and Testing Procedures for the Reliability Functions of Kumaraswamy-G Distributions and a Characterization Based on Records

Taruna Kumari, Ajit Chaturvedi, Anupam Pathak

Journal of Statistical Theory and Practice > 2019 > 13 > 1 > 1-41

In this article, characterization based on record values for Kumaraswamy-G distributions is provided. Two measures of reliability are considered, namely R(t) = P(X > t) and P = P(X > Y). Point and interval estimation procedures are developed for unknown parameter(s), R(t) and P, based on records. Two types of point estimators are considered, namely (1) uniformly minimum variance unbiased estimators...

article

Nowe mieszaniny elastomerowe o zwiększonej odporności na palenie

A. Olejnik, A. Smejda-Krzewicka, K. Strzelec

Polimery > 2019 > T. 64, nr 1 > 43--49

Opracowano technologię wytwarzania materiałów gumowych charakteryzujących się dobrymi właściwościami mechanicznymi, zwiększoną odpornością na starzenie termooksydacyjne oraz odpornością na palenie. Nowe niekonwencjonalne mieszaniny elastomerowe sporządzone na bazie kauczuków chloroprenowego (CR) i butadienowego (BR) sieciowano w sposób niestandardowy za pomocą tlenku cynku (ZnO). Najlepsze właściwości...

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Search results

Estimating the Second-Order Parameter of Regular Variation and Bias Reduction in Tail Index Estimation Under Random Truncation

Some Classes of Estimators for Sensitive Population Mean on Successive Moves

Some Variations of EM Algorithms for Marshall–Olkin Bivariate Pareto Distribution with Location and Scale

Non-negative Density Estimation via Wavelet Block Thresholding for Biased Data

Introducing Nonparametric Predictive Inference Methods for Reproducibility of Likelihood Ratio Tests

Algebraic Characterization of $${{\mathbb {C}}}$$ C -Regular Fractions Under Level Permutations

Approximations for the Likelihood Ratio Statistic for Hypothesis Testing Between Two Beta Distributions

Generalized Beta Weibull Linear Model: Estimation, Diagnostic Tools and Residual Analysis

A Beran-Inspired Estimator for the Weibull-Type Tail Coefficient

Extension of the Parametric Delta Method with an Application to an Inference Method for a Degradation Model

Inferences for Weibull-Exponential Distribution Based on Progressive Type-II Censoring Under Step-Stress Partially Accelerated Life Test Model

Robustness of Nonparametric Predictive Inference for Future Order Statistics

Estimation of Population Mean Using Imputation Methods for Missing Data Under Two-Phase Sampling Design

Least-Squares Estimation for the Subcritical Heston Model Based on Continuous-Time Observations

Experimental analysis on the technical behavior of carbon black filled rubber blends’ rollers for rice husk removal application

Synthesis of new polymers containing 1,2,3-triazole units from poly(vinylchloride) via "click” chemistry catalyzed by copper iodide and its application in extraction of nitrates and metals contained in wastewater

A New Family of Estimators for Population Mean with Dual Use of the Auxiliary Information

Inference on Marshall–Olkin Bivariate Exponential in the Presence of Dependent Left Censoring

Estimation and Testing Procedures for the Reliability Functions of Kumaraswamy-G Distributions and a Characterization Based on Records

Nowe mieszaniny elastomerowe o zwiększonej odporności na palenie

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