Математика список научных статей
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OPTIMIZATION OF AN INVENTORY MODEL FOR DETERIORATING ITEMS ASSUMING DETERIORATION DURING CARRYING WITH TWO-WAREHOUSE FACILITY
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...
2024 / Krishan Kumar Yadav, Ajay Singh Yadav, Shikha Bansal -
ON MODELING OF BIOMEDICAL DATA WITH EXPONENTIATED GOMPERTZ INVERSE RAYLEIGH DISTRIBUTION
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...
2024 / Sule Omeiza Bashiru, Alaa Abdulrahman Khalaf, Alhaji Modu Isa, Aishatu Kaigama -
BEHAVIOR ANALYSIS PRESENTED SYSYEM WITH FAILURE AND MAINTENANCE RATE WITH USING DEEP LEARNING ALGORITHMS
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...
2024 / Shakuntla Singla, Shilpa Rani, Diksha Mangla, Umar Muhammad Modibbo -
THE EXPONENTIATED SKEW LAPLACE DISTRIBUTION: PROPERTIES AND APPLICATIONS
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...
2024 / Timothy Kayode Samson, Christian Elendu Onwukwe, Ekaette Inyang Enang -
A NOVEL ASYMMETRIC COMPOUND CLASS OF DISTRIBUTIONS WITH ESTIMATION AND APPLICATION
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...
2024 / A.G. Al-Kilany, Amal S. Hassan, L.S. Diab, E.S. El-Atfy -
EXPLORING LENGTH BIASED QUASI SUJA DISTRIBUTION: PROPERTIES AND APPLICATIONS
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 ...
2024 / Vidya Yerneni, Aafaq A. Rather -
A NEW GENERALIZATION OF SABUR DISTRIBUTION
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...
2024 / Suvarna Ranade, Aafaq A. Rather -
ESTIMATION OF PARAMETERS FOR KUMARASWAMY EXPONENTIAL DISTRIBUTION BASED ON PROGRESSIVE TYPE-I INTERVAL CENSORED SAMPLE
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...
2024 / Manoj Chacko, Shilpa S. Dev -
ANALYSIS OF MX/G/1 QUEUE WITH OPTIONAL SECOND SERVICE, FEEDBACK AND BERNOULLI VACATION
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 ...
2024 / S. Karpagam, B. Somasundaram, A. Kavin Sagana Mary, R. Lokesh -
INVERTED DAGUM DISTRIBUTION: PROPERTIES AND APPLICATION TO LIFETIME DATASET
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...
2024 / Abdulhameed A. Osi, Shamsuddeen A. Sabo, Ibrahim Z. Musa -
A NOVEL HYBRID DISTRIBUTED INNOVATION EGARCH MODEL FOR INVESTIGATING THE VOLATILITY OF THE STOCK MARKET
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...
2024 / Mubarak M.T., Adubisi O.D., Abbas U.F. -
BAYESIAN ANALYSIS OF EXTENDED MAXWELL-BOLTZMANN DISTRIBUTION USING SIMULATED AND REAL-LIFE DATA SETS
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...
2024 / Nuzhat Ahad, S.P.Ahmad, J.A.Reshi -
BAYESIAN NON-INFERIORITY TEST BETWEEN TWO BINOMIAL PROPORTIONS
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...
2024 / W.B. Yahya, C.P. Ezenweke, O.R. Olaniran, I.A. Adeniyi, K. Jimoh, R.B. Afolayan, M.K. Garba, I. Ahmed -
BAYESIAN AND E-BAYESIAN ESTIMATION OF EXPONENTIATED INVERSE RAYLEIGH DISTRIBUTION USING CONJUGATE PRIOR
This study explores the application of Bayesian and E-Bayesian techniques to estimate the scale parameter of the Exponentiated Inverse Rayleigh distribution. Bayesian estimates for the parameter are derived using an informative Gamma prior and evaluated under three distinct loss functions: DeGroot, ...
2024 / Ramesh Kumar, Hemani Sharma, Rahul Gupta, Ableen Kaur -
WEIGHTED R-NORM ENTROPY FOR LIFETIME DISTRIBUTIONS: PROPERTIES AND APPLICATION
In the field of information theory, different uncertainty measures have been introduced by various researchers. These measures are widely used in reliability and survival studies. In this article, we introduce two new weighted uncertainty measures which are known as weighted R-Norm entropy (WRNE)...
2024 / Bilal Ahmad Bhat, M.A.K Baig -
BAYESIAN ESTIMATION OF PARAMETERS AND RELIABILITY CHARACTERISTICS IN THE INVERSE GOMPERTZ DISTRIBUTION
In this study, we derive Bayes’ estimators for the unknown parameters of the Inverse Gompertz Distribution (IGD) using three alternative loss functions: the Squared Error Loss Function (SELF), the Entropy Loss Function (ELF), and the Linex Loss Function. Closed-form formulas for Bayes estimators...
2024 / Taiwo. M. Adegoke, Latifat A. Abimbola, Oladapo M. Oladoja, Oyindamola. R. Oyebanjo, K.O. Obisesan -
NEW EXTENSION OF INVERTED MODIFIED LINDLEY DISTRIBUTION WITH APPLICATIONS
In this article we, proposed a new two parameter distribution called inverted power modified Lindley distribution. The main objective is to introduce an extension to inverted modified Lindley distribution as an alternative to the inverted exponential, inverted gamma and inverted modified Lindley...
2024 / Devendra Kumara, Anju Goyalb, P. Pareekc, M. Sahaa -
A MAP/PH1, PH2/2 INVENTORY QUEUEING SYSTEM WITH TWO COMMODITY, MULTIPLE VACATION, SERVER FEEDBACK, WORKING BREAKDOWN, REPAIR AND EMERGENCY REPLENISHMENT
We investigate a continuous review inventory queuing system in the present study that has two heterogeneous servers: Server-2, which is reliable, and Server-1, which is unreliable. An exponentially distributed random time is used to describe the repair process when server-1 has an interruption. On...
2024 / G. Ayyappan, N. Arulmozhi -
Solving the eikonal equation by the FSM method in Julia language
There are two main approaches to the numerical solution of the eikonal equation: reducing it to a system of ODES (method of characteristics) and constructing specialized methods for the numerical solution of this equation in the form of a partial differential equation. The latter approach includes...
2024 / Christina A. Stepa, Arseny V. Fedorov, Migran N. Gevorkyan, Anna V. Korolkova, Dmitry S. KulyabovВАК -
Application of the Chebyshev collocation method to solve boundary value problems of heat conduction
For one-dimensional inhomogeneous (with respect to the spatial variable) linear parabolic equations, a combined approach is used, dividing the original problem into two subproblems. The first of them is an inhomogeneous one-dimensional Poisson problem with Dirichlet–Robin boundary conditions, the...
2024 / Konstantin P. Lovetskiy, Stepan V. Sergeev, Dmitry S. Kulyabov, Leonid A. SevastianovВАК