Applied Mathematics

Volume 4, Issue 4 (April 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Hypoexponential Distribution with Different Parameters

HTML  XML Download Download as PDF (Size: 197KB)  PP. 624-631  
DOI: 10.4236/am.2013.44087    6,547 Downloads   10,877 Views  Citations

ABSTRACT

The Hypoexponential distribution is the distribution of the sum of n 2 independent Exponential random variables. This distribution is used in moduling multiple exponential stages in series. This distribution can be used in many domains of application. In this paper we consider the case of n exponential Random Variable having distinct parameters. Using convolution, some properties ofLaplacetransform and the moment generating function, we analyse this case and give new properties and identities. Moreover, we shall study particular cases when are arithmetic and geometric.

Share and Cite:

Smaili, K. , Kadri, T. and Kadry, S. (2013) Hypoexponential Distribution with Different Parameters. Applied Mathematics, 4, 624-631. doi: 10.4236/am.2013.44087.

Cited by

[1] A game theoretic model of the behavioural gaming that takes place at the EMS-ED interface
European Journal of Operational …, 2022
[2] Does D2D Communication Always Benefit Physical Layer Security?
IEEE Internet of Things Journal, 2022
[3] On Detecting Route Hijacking Attack in Opportunistic Mobile Networks
IEEE Transactions on …, 2022
[4] The New Mixed Hypoexponential-G Family
arXiv preprint arXiv:2211.06585, 2022
[5] Detection of Pneumonia in Chest X-Ray with Bat-Algorithm Selected Deep and Handcrafted Features
Journal of Physics …, 2022
[6] Automatic classification of histology images into normal/cancer class with pre-trained CNN
Journal of Physics …, 2022
[7] Extraction and assessment of COVID19 infection in lung CT images using VGG-UNet
Journal of Physics …, 2022
[8] Automatic detection of ischemic-stroke-lesion with CNN segmentation: a study
Journal of Physics …, 2022
[9] Market Entry and Competition Under Network Effects
Rotman School of Management Working Paper, 2022
[10] Bayesian functional graphical models
arXiv preprint arXiv …, 2021
[11] On the Levy measure property of gamma distribution
2020
[12] LIF Neuron with Hypo-exponential Distributed Delay: Emergence of Unimodal, Bimodal, Multimodal ISI Distribution with Long Tail
2020
[13] Exponential and Hypoexponential Distributions: Some Characterizations
2020
[14] On Securing Wi-Fi Direct Based Opportunistic Networks
2019
[15] Detection and Detectability of Changes in a Multi-parameter Exponential Distribution
2019
[16] Stochastic model for crop water stress during agricultural droughts
2019
[17] ON THE PRODUCT OF TWO HYPOEXPONENTIAL RANDOM VARIABLES
2019
[18] On the outage probability and power control of D2D underlaying NOMA UAV-assisted networks
2019
[19] CollusiveHijack: A New Route Hijacking Attack and Countermeasures in Opportunistic Networks
2019
[20] 이종 네트워크에서 적응변조 사용시 주파수 공유에 따른 데이터 전송률 분석
2018
[21] Overall Cell Data Rates Analysis for Heterogenous Network Under Adaptive Modulation
2018
[22] ON OBTAINING OF ERGODICITY RESULTS AND PERFORMANCE MEASURES OF HYPO-EXPONENTIAL DISTRIBUTED QUEUING MODEL WITH NEUTS MATRIX-GEOMETRIC METHOD
The Journal of International Civilization Studies, 2018
[23] Control of Cognitive Networks With Friendly Jamming as a Service
2018
[24] Linear Combination of Independent Exponential Random Variables
Methodology and Computing in Applied Probability, 2018
[25] On the Class of Infinitely Divisible Exponential Distribution
Journal of Physics: Conference Series, 2018
[26] H?ZMET SüRES? H?PO-üSTEL DA?ILIMA UYAN KUYRUK MODEL?NDE, NEUTS’UN MATR?S-GEOMETR?K Y?NTEM?N?N S?MULASYON YARDIMI ?LE ERGOD?KL?K SONU?LARI VE PERFORMANS ?L?üLER?N?N ELDE ED?LMES?
Uluslararas? Medeniyet ?al??malar? Dergisi, 2018
[27] Dynamic interference‐limited relay sharing in cognitive radio networks by using hierarchical modulation
IET …, 2017
[28] Modelling of production processes with the use of witness simulator Modelowanie procesów produkcji z wykorzystaniem symulatora witness
TECHNICAL TRANSACTIONS, 2017
[29] A new family of distributions based on the hypoexponential distribution with applications
Pré-publication, Document de travail, 2017
[30] Channel Hardening and Favorable Propagation in Cell-Free Massive MIMO with Stochastic Geometry
2017
[31] Modelling of production processes with the use of witness simulator
2017
[32] Dynamic interference-limited relay sharing in cognitive radio networks by using hierarchical modulation
IET Communications, 2017
[33] The uniform continuity of characteristic function from convoluted exponential distribution with stabilizer constant
PROCEEDINGS OF THE 7TH SEAMS UGM INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATIONS 2015: Enhancing the Role of Mathematics in Interdisciplinary Research, 2016
[34] Exact solutions of master equations for the analysis of gene transcription models
2015
[35] Markov Modeling for Reliability Analysis Using Hypoexponential Distribution
Numerical Methods for Reliability and Safety Assessment. Springer International Publishing, 2015
[36] CONVOLUTIONS OF HYPER-ERLANG AND OF ERLANG DISTRIBUTIONS
International Journal of Pure and Applied Mathematics, 2015
[37] Finding the pdf of the hypoexponential random variable using the Kad matrix similar to the General Vandermonde Matrix
Communications in Statistics-Theory and Methods, 2015
[38] Variability in Spiking Pattern of LeakyIntegrate-and-Fire Neuron Due to Excitatory andInhibitory Potentials
2015
[39] Convolution of Generated Random Variable from Exponential Distribution with Stabilizer Constant
Applied Mathematical Sciences, 2015
[40] Cognitive relay-sharing by using hierarchical modulation under interference constraints
Global Communications Conference (GLOBECOM), 2014 IEEE, 2014
[41] The Exact Distribution of The Ratio of Two Independent Hypoexponential Random Variables
British Journal of Mathematics & Computer Science, 2014
[42] A Modified-Form Expressions for the Hypoexponential Distribution
British Journal of Mathematics & Computer Science, 2014
[43] Dynamic control of wireless networks with confidential communications
2014
[44] ankur gupta
2013
[45] Dynamic control for cooperative jamming with a non-altruistic node
Communications and Network Security (CNS), 2013 IEEE Conference on. IEEE, 2013
[46] Parameter estimation in deterministic and stochastic models of biological systems
ProQuest Dissertations Publishing, 2013

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.