Математика список научных статей
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CHARACTERIZATION OF NEW QUASI LINDLEY DISTRIBUTION BY TRUNCATED MOMENTS AND CONDITIONAL EXPECTATION OF ORDER STATISTICS
Characterization of a probability distribution plays an important role in probability and statistics. Before a particular probability distribution model is applied to fit the real world data, it is necessary to confirm whether the given probability distribution satisfies the underlying requirements ...
2023 / Amir Ansari, Mohammad Faizan, Rafiqullah Khan -
DENSITY BY MODULI AND LACUNARY STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES
In this paper, we introduced and studied the concept of lacunary statistical convergence of double sequence with respect to modulus function where the modulus function is an unbounded double sequence. We also introduced the concept of lacunary strong convergence of double sequence via modulus...
2023 / A.G.K. Ali, A.M. Brono, A. Masha -
ESTIMATION OF STRESS STRENGTH RELIABILITY USING PRANAV DISTRIBUTION
This paper deals with the estimation of stress strength reliability parameter R, which is the probability of Y less than X when X and Y are two independent distribution with different scale parameter and same shape parameter. The maximum likelihood method is used to find an estimator for R. We also ...
2023 / Ankitha Lukose, Chacko V.M. -
PRICE RISK ANALYSIS USING GARCH FAMILY MODELS: EVIDENCE FROM INDIAN NATIONAL STOCK EXCHANGE FUTURE MARKET
The prediction of time-varying volatility plays an important role in financial data. In the paper, a comprehensive analysis of the mean return and conditional variance of NSE index is performed to use GARCH, EGARCH and TGARCH models with Normal innovation and Student’s t innovation. Conducting a...
2023 / M. Valavan, Mohammed Ahmar Uddin, S. Rita -
QUANTILE RESIDUAL ENTROPY FOR SOME LIFE TIME DISTRIBUTIONS
This study explores the concept of residual entropy as an alternative approach to traditional entropy measures. The field of information theory, built upon Shannon's entropy, has been instrumental in understanding the dynamics of systems. However, existing literature has recognized the limitations...
2023 / Javid Gani Dar, Mohammad Younus Bhat, Shahid Tamboli, Shaikh Sarfaraj, Aafaq A. Rather, Maryam Mohiuddin, Showkat Ahmad Dar -
DESIGNING A HYBRID SINGLE SAMPLING PLAN FOR LIFE-TIME ASSESSMENT USING THE EXPONENTIALRAYLEIGH DISTRIBUTION
The approach of statistical quality control known as “product control” deals with the steps involved in making judgments on one or more batches of completed goods produced by production processes. One of the main categories of product control is sampling inspection by variables, which includes...
2023 / Radhika A., Nandhini M., Jeslin J. -
PARAMETER ESTIMATION OF SCALE MUTH DISTRIBUTION(SMD) UNDER TYPE-1 CENSORING USING CLASSICAL AND BAYESIAN APPROACHES
The lifetime distributions are used to understand and explain the real life circumstances in various fields (medical, engineering, etc.). Many times it is very tough task to complete an experiment with complete data due to lack of time, money or some other factors and get the data in incomplete...
2023 / Agni Saroj, Prashant K. Sonker, Shalini Kumari, Rakesh Ranjan, Mukesh Kumar -
Estimation of Stress-Strength Reliability Based on KME Model
In reliability theory the estimation of stress-strength reliability is an important problem. It has many applications in engineering and physics areas. In many practical situations, the assumption of identical strength distributions may not be quite realistic because components of a system are of...
2023 / Kavya P., Manoharan M. -
π-Power Half Logistic-G Family: Applications to Medical and Traffic Data
This research article introduces a novel family of distributions achieved through the methodology of the π-power transformation technique. The study focuses on one specific member that is inverse Weibull distribution within this family, which showcases a hazard function exhibiting distinct J,...
2023 / Pankaj Kumar, Laxmi Prasad Sapkota, Vijay Kumar -
POWER WEIBULL QUANTILE FUNCTION AND IT’S RELIABILITY ANALYSIS
In this article, we propose a new class of distributions defined by a quantile function, which is the sum of the quantile functions of the Power and Weibull distributions. Various distributional properties and reliability characteristics of the class are discussed. To examine the usefulness of the...
2023 / Jeena Joseph, Sonitta Tony -
EXPONENTIAL-PARETO MIXTURE DISTRIBUTION
In this paper we introduce the Exponential-Pareto mixture distribution. This distribution is associated as mixture of light and heavy-tailed data which arise in a wide class applications including risk analysis. Characteristic function, failure rate function, mean excess, conditional excess...
2023 / Irina Peshkova -
PERFORMANCE ANALYSIS OF BULK ARRIVAL GENERAL SERVICE QUEUE WITH FEEDBACK, IMPATIENT CUSTOMERS AND SECOND OPTIONAL SERVICE
This paper analyzes the steady state behavior of batch arrival non-Markovian service queue with feedback, balking, reneging, and second optional service (SOS). The steady-state probabilities are computed using the probability generating function. After completing the first essential service (FES),...
2023 / P. Vijaya Laxmi, Hasan A. Qrewi, E. Girija Bhavani -
On MIXTURE OF BURR XII AND NAKAGAMI DISTRIBUTIONS: PROPERTIES AND APPLICATIONS
The Burr XII and Nakagami distributions hold significant importance in both lifetime distribution and wealth distribution analyses. The Burr XII distribution serves as a valuable tool for understanding the distribution of wealth and wages within specific societies, while the Nakagami distribution...
2023 / Hemani Sharma, Parmil Kumar -
DEVELOPING A NEW HUNTSBERGER TYPE SHRINKAGE ESTIMATOR FOR THE ENTROPY OF EXPONENTIAL DISTRIBUTION UNDER DIFFERENT LOSS FUNCTIONS
The aim of the paper is to develop a new Huntsberger type shrinkage estimator for the entropy function of the exponential distribution. The present paper proposes a Huntsberger type shrinkage estimator for the entropy function of the exponential distribution. This Huntsberger type shrinkage entropy ...
2023 / Priyanka Sahni, Rajeev Kumar -
ON THE PROPERTIES AND APPLICATIONS OF TOPPLEONE GOMPERTZ INVERSE RAYLEIGH DISTRIBUTION
In this study, we introduce a new four-parameter continuous probability distribution known as the Topp-Loene Gompertz Inverse Rayleigh (TLGoIRa) distribution. This novel model extends the Gompertz Inverse Rayleigh distribution. We present various mathematical properties of the distribution,...
2023 / Sule Omeiza Bashiru, O.Y. Halid -
Метод поиска функции Ляпунова для анализа устойчивости нелинейных систем с использованием генетического алгоритма
Введение. Рассмотрен широкий класс гладких непрерывных динамических нелинейных систем (объектов управления) с измеряемым вектором состояния. Поставлена задача поиска специальной функции (функции Ляпунова), которая в рамках второго метода Ляпунова гарантирует асимптотическую устойчивость для...
2023 / Артемий Михайлович Зенкин, Алексей Алексеевич Перегудин, Алексей Алексеевич БобцовВАК -
Доверительные липшицевы классификаторы: инструмент гарантированной надежности
Введение. Предложен новый метод гарантированного решения задачи мультиклассовой классификации стохастических объектов. Метод. В рамках разработанного подхода результат классификации представляет собой конечное множество индексов классов, которое с заданным начальным коэффициентом доверия содержит...
2023 / Андрей Владимирович ТимофеевВАК -
Решение задачи пространственного вращения 3D-поверхностей и их отображения на плоскости
Введение. Рассмотрено решение математической задачи вращения объемной поверхности в пространстве с ортогональным базисом и ее отображением на плоскости с использованием простых геометрических фигур. Данная задача возникает при сопровождении подвижных объектов на фоне окружающей обстановки....
2023 / Андрей Владимирович Шарамет, Андрей Николаевич ЛысыйВАК -
Complex non-exponential form of damped vibrations in uniaxially oriented polymeric materials with one mechanical degree of fre
In the present paper the relaxation properties of uniaxially oriented polymer threads are investigated. Vibrational relaxation in mechanical system with one degree of freedom is analyzed. This system consists of a heavy weight suspended on a light thread made of a uniaxially oriented polymer...
2023 / Dmitry S. Vavilov, Olga B. Prishchepenok, Pavel P. Rymkevich -
СОВРЕМЕННЫЕ ITТЕХНОЛОГИИ В ШКОЛАХ РОССИИ
в статье анализируются аспекты цифровой среды в школе. Поднимается вопрос о том, что современную школу и урок невозможно представить без использования информационных технологий. Использование информационных технологий позволяет: -перейти от объяснительно–иллюстрированного способа обучения к...
2023 / Мукалиева Марина Сайпуллаевна