Математика список научных статей

In today’s security landscape, the proliferation of unauthorized drones in restricted airspace has emerged as a significant threat. These drones pose various risks, from potential surveillance and espionage to more sinister possibilities such as physical attacks. Consequently, the development of...

It is a typical occurrence to replace some industrial equipment or components, such as electronic chips, bulbs, etc. It deals with the ideas of dependability theory, in which the likelihood of an equipment malfunctioning instantly is calculated assuming that it has operated normally for a given...

In this research paper, we presents the expected Bayesian (E-Bayesian) estimation of bathtub-shaped lifetime (BSL) distribution for scale parameter based on upper record values (URV) using a conjugate prior distribution. Also, we are considered different prior distributions for the E-Bayesian...

Acceptance sampling is used in Statistical Quality Control (SQC) to conduct lot quality evaluations through sample inspections which involve probability theory and fuzzy sets. It aims to optimize quality, costs, and productivity, frequently applying linguistic variables when accurate parameter...

Priority and ordinary customers arrive according to Poisson processes, and their service time based on the general distribution. The server constantly offers a single service for both priority and ordinary customers. We compute the Laplace transforms of the time-dependent probabilities of system...

There are many real-life situations, where data require probability distribution function which have decreasing or upside-down bathtub (UBT) shaped failure rate function. The inverse power burr hatke distribution consists both decreasing and UBT shaped failure rate functions. Here, we address the...

In the reliability estimation of stress-strength models, external factors such as temperature, humidity, etc. may influence the distribution of stress and strength random variables. In traditional reliability analysis, these external factors are accounted for by introducing a real-valued distortion ...

A common topic in the context of its application in today’s business contexts is inventory modelling and management. It is well-known that deterioration has a big impact on inventory management. One of the most frequent supply chain concerns is the deterioration of items during transit from a...

This paper introduces and thoroughly examines the Exponentiated Gompertz Inverse Rayleigh (EtGoIr) Distribution, a four-parameter extension of the Gompertz Inverse Rayleigh distribution. The primary focus is on its application to biomedical datasets, shedding light on its mathematical and...

The paper discusses the behavioral analysis and dependability of a three-unit system utilizing RPGT for system parameters. Since all three units P, Q and R include parallel subcomponents, in the event that one of them fails, the system continues to operate although at a reduced capacity, but it is...

In this paper, a 4-parameter Exponentiated Skew Laplace distribution is defined and studied. Various statistical properties including its moment generating function, characteristics function, hazard function, and reliability function of the proposed ESLD were derived. The estimation of its...

This paper introduces and discusses the novel asymmetric class of distributions that have the name inverse power Lomax power series (IPLPS). This class of distributions is produced by combining the inverse power Lomax with the power series distributions. This combined approach provides an...

This paper introduces a new statistical distribution called length biased quasi suja distribution (LBQS). It explores its properties, including moments, moment generating function(MGF), characteristic function(CF), harmonic mean, reliability, hazard rate and reverse hazard rate. Order statistics of ...

When the weight function depends on the lengths of the units of interest, the resulting distribution is called length biased. Length biased distribution is thus a special case of the more general form, known as weighted distribution. In this study, we introduce a novel probability distribution...

In this paper, we consider the problem of estimation of parameters of the Kumaraswamy exponential distribution using progressive type-I interval censored data. The maximum likelihood estimators (MLEs) of the parameters are obtained. As it is observed that there is no closed-form solutions for the...

In this article the single-server queue situation described with batch arrivals, a mandatory first service and a choice of second service are provided to the customers. A general distribution governs the service times, whereas a compound Poisson distribution follows customer arrivals. Although each ...

This article presents the introduction of a novel univariate probability distribution termed the inverted Dagum distribution. Extensive analysis of the statistical properties of this distribution, including the hazard function, survival function, Renyi’s entropy, quantile function, and the...

When calculating risk and making decisions, investors and financial institutions heavily rely on the modeling of asset return volatility. For the exponentiated generalized autoregressive conditional heteroscedasticity (EGARCH) model, we created a unique innovation distribution in this study called...

The objective of the study is to use Bayesian techniques to estimate the scale parameter of the 2Kth order weighted Maxwell-Boltzmann distribution(KWMBD). This involved using various prior assumptions such as extended Jeffrey’s, Hartigan’s , Inverse-gamma and Inverse-exponential, as well as...

The paper aimed to propose a new Bayesian test method for establishing a non-inferiority measure between an active treatment (drug) and a new (cheaper) treatment using two independent binomial samples. A Bayesian test statistic was developed for testing non-inferiority between two independent...