Математика список научных статей

The message of TRIZ (theory of inventive problem solving) consists not only in solving problems and developing inventive thinking of people, but also in the creation of a system of values, which corresponds to the goals of uniting civilizations on Earth based on domination in the society of...

Building roadmaps for TRIZ-project that specify the sequence of application of TRIZ tools, can be compared in terms of importance to ARIZ for solving inventive problems. While there are known methodologies that attempt to describe various universal roadmaps for several types of TRIZ-projects. On...

Goal. To show that TRIZ tools in existing or adapted form can be effectively used in biological and medical research. Novelty. This topic is still insufficiently described and covered in the worldwide TRIZ community. In the past, the use of TRIZ in biology was mainly represented by the use of...

Extropy is a complimentary dual of Shannon’s entropy, which has many applications. The maximum likelihood and Bayesian approaches are used in this article to explore the weighted extropy and weighted residual extropy of the Pareto type II distribution. Using unified hyper-censoring data, we...

Fuzzy graph and Fuzzy soft graph are indispensable computing modules for presenting membership and non membership values in the world of uncertain situations and incidents. In this research article, we introduce the new module of Alternate Quadra Submerging Polar Fuzzy Soft Graph with four co –...

Recently, the measurement of uncertainty has attracted the attention of researchers. In this article, we introduce a new weighted uncertainty measure known as weighted generalized entropy. We also study its dynamic (residual) version which is known as weighted generalized residual entropy. These...

In the present investigation, we consider a bulk queue model with the assumption that the server may stop working due to random failure during any stage of the service. As soon as the server fails, it is immediately sent for repair. The server offers all incoming units the first mandatory service...

In this research, we present an approach to model lifetime data by a weighted three-parameter probability distribution utilizing the exponential and gamma distributions. We have presented some of the essential characteristics such as the shapes of pdf, cdf, moments, incomplete moments, survival...

In this communication, we proposed two parametric generalized divergence measures. The well-known divergence measures available in the literature are a particular case of our new proposed divergence measure. We also looked into its monotonic behaviour and characterization results. We applied the...

A bivariate version of the Bilal distribution has been proposed in the literature, called the Farlie-Gumbel-Morgenstern bivariate Bilal (FGMBB) distribution. In this article, we have dealt with the problem of estimation of the scale parameter associated with the study variable Z of primary...

In the paper considered the research expediency classification of statistical data according to the given varieties of signs. The researching carried out based on modeling of small and multidimensional samples to statistical distribution functions. A discrepancy found in the estimation of the...

The paper introduces a new type of fractional integral transform called the N-transform of fractional order. This transform is utilized to derive various results for a more generalized function of fractional calculus known as the Aleph-function. The authors present several useful findings and...

In this article, we introduce a new member to Poisson-X family namely, the Poisson-power Lindley distribution. The statistical as well as the distributional properties of the new distribution are studied. The flexibility of the distribution is illustrated by means of real data sets. We also...

Queueing models in which the services are provided in groups (or blocks or batches) have found to be very useful in real-world applications and such queues been extensively analysed in the literature. In this paper we see one such group service queueing model with balking, reneging and immediate...

Utilizing auxiliary information effectively in sample surveys can enhance the accuracy of estimations by capitalizing on the relationship between the main variable under study and the auxiliary variable. Estimators such as ratio, product, exponential, and regression estimators are frequently...

Statistical Quality Control is an important field in production and maintenance of quality product in manufacturing environments. Reliability sampling plans (RSP) were widely employed in the sectors of manufacturing to monitor the quality of products in order to safe guard the producer as well as...

The geometric process (GP) has been applied to estimate constant stress accelerated life testing for the Frechet failure item with time-censored data. A geometric process (GP) is developed by the failure time of tested items when stress levels are constantly rising. The estimates of the various...

This article is dedicated to the study of the new class of distributions and one of its particular members. Based on the ratio of CDF G(x) and 1+G(x) of the baseline distribution, we have developed the new trigonometric family of distributions by transforming the sine function, and we named it the...

A weighted entropy measure of information is provided by a probabilistic experiment whose basic events are described by their objective probabilities and some qualitative (objective or subjective) weights. Weighted entropy has also been applied to equity the amount of information and degree of...

This work proposes a new one-parameter model titled the type II Topp Leone half logistic (TIITLHL) model which is characterized by an increasing and decreasing hazard rate function quite dependent on the shape parameter. Some structural properties and basic functions used in reliability analysis...