غلامحسین یاری
گروه ریاضی، دانشگاه علم و صنعت ایران
[ 1 ] - تعیین وزن‌های عملگر میانگین وزنی مرتب شده با استفاده از مدل ماکزیمم آنتروپی یکنوای نوع دوم
یکی از موضوعات مهم در نظریه عملگرهای میانگین وزنی مرتب شده تعیین وزن‌های متناظر با هر ورودی به سیستم است. در روش پیشنهادی این مقاله، فرض شده است برحسب اطلاعات موجود، تصمیم گیرنده می‌داند وزن‌ها به طور صعودی یا نزولی مرتب شده‌اند. با توجه به این اطلاعات پیشین و مفهوم آنتروپی یکنوای نوع دوم، مدلی جدید برای تعیین وزن‌های OWA ارائه شده است. بعضی از ویژگی‌های مدل پیشنهادی مورد تجزیه و تحلیل قرار گرف...
[ 2 ] - Information Covariance Matrices for Multivariate Burr III and Logistic Distributions
Main result of this paper is to derive the exact analytical expressions of information and covariance matrices for multivariate Burr III and logistic distributions. These distributions arise as tractable parametric models in price and income distributions, reliability, economics, Human population, some biological organisms to model agricultural population data and survival data. We showed that ...
[ 3 ] - Information and Covariance Matrices for Multivariate Pareto (IV), Burr, and Related Distributions
Main result of this paper is to derive the exact analytical expressions of information and covariance matrix for multivariate Pareto, Burr and related distributions. These distributions arise as tractable parametric models in reliability, actuarial science, economics, finance and telecommunications. We showed that all the calculations can be obtained from one main moment multidimensional integr...
[ 4 ] - Some Statistical Inferences on the Parameters of Records Weibull Distribution Using Entropy
In this paper, we discuss different estimators of the records Weibull distribution parameters and also we apply the Kullback-Leibler divergence of survival function method to estimate record Weibull parameters. Finally, these estimators have been compared using Monte Carlo simulation and suggested good estimators.
[ 5 ] - Tsallis Maximum Entropy Lorenz Curves
In this paper, at first we derive a family of maximum Tsallis entropy distributions under optional side conditions on the mean income and the Gini index. Furthermore, corresponding with these distributions a family of Lorenz curves compatible with the optional side conditions is generated. Meanwhile, we show that our results reduce to Shannon entropy as $beta$ tends to one. Finally, by using ac...
[ 6 ] - Relative Entropy Rate between a Markov Chain and Its Corresponding Hidden Markov Chain
In this paper we study the relative entropy rate between a homogeneous Markov chain and a hidden Markov chain defined by observing the output of a discrete stochastic channel whose input is the finite state space homogeneous stationary Markov chain. For this purpose, we obtain the relative entropy between two finite subsequences of above mentioned chains with the help of the definition of...
[ 7 ] - Taylor Expansion for the Entropy Rate of Hidden Markov Chains
We study the entropy rate of a hidden Markov process, defined by observing the output of a symmetric channel whose input is a first order Markov process. Although this definition is very simple, obtaining the exact amount of entropy rate in calculation is an open problem. We introduce some probability matrices based on Markov chain's and channel's parameters. Then, we try to obtain an estimate ...
[ 8 ] - The Rate of Rényi Entropy for Irreducible Markov Chains
In this paper, we obtain the Rényi entropy rate for irreducible-aperiodic Markov chains with countable state space, using the theory of countable nonnegative matrices. We also obtain the bound for the rate of Rényi entropy of an irreducible Markov chain. Finally, we show that the bound for the Rényi entropy rate is the Shannon entropy rate.
[ 9 ] - Some statistical inferences on the upper record of Lomax distribution
In this paper, we investigate some inferential properties of the upper record Lomax distribution. Also, we will estimate the upper record of the Lomax distribution parameters using methods, Moment (MME), Maximum Likelihood (MLE), Kullback-Leibler Divergence of the Survival function (DLS) and Baysian. Finally, we will compare these methods using the Monte Carlo simulation.
[ 10 ] - E-Bayesian Estimations of Reliability and Hazard Rate based on Generalized Inverted Exponential Distribution and Type II Censoring
Introduction This paper is concerned with using the Maximum Likelihood, Bayes and a new method, E-Bayesian, estimations for computing estimates for the unknown parameter, reliability and hazard rate functions of the Generalized Inverted Exponential distribution. The estimates are derived based on a conjugate prior for the unknown parameter. E-Bayesian estimations are obtained based on th...
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