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2018, Neural, Parallel & Scientific Computations archive
In this paper we consider an application to the debugging theory of a class of cumulative exponentiated exponential–Poisson distribution functions introduced by Ramos, Dey, Louzada and Lachos. By this family of cumulative distribution functions we study the Hausdorff approximation of the shifted Heaviside step function. Numerical examples, illustrating our results using the programming environment Mathematica are presented. As application in the field of debugging and test theory are given examples with real data including compatibility modifications, operating system upgrade and signaling message processing from year 2000 using the new software reliability model. AMS Subject Classification: 68N30, 41A46
International journal of pure and applied mathematics
On the Burr XII--Weibull Software Reliability Model2018 •
Cybernetics and Information Technologies
Analysis of the Chen’s and Pham’s Software Reliability Models2018 •
In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0 (t) by sigmoidal functions based on the Chen’s and Pham’s cumulative distribution functions and find an expression for the error of the best approximation. We give real examples with data provided by IBM entry software package and Apache HTTP Server using Chen’s software reliability model and Pham’s deterministic software reliability model. Some analyses are made.
International journal of pure and applied mathematics
Some Notes on the Extended Burr XII Software Reliability Model2018 •
Abstract: Software reliability modeling is challenging since no single Software Reliability Growth Model (SRGM) is considered suitable in all situations owing to poor goodness of fit, lack of predictive validity of the models and their sensitivity to fluctuations in the number of failures in the data sets. In this paper, we propose a Non- Homogenous Poisson Process Model whose failure intensity function has the same Mathematical form as that of the probability density function (pdf) of a generalized exponential distribution. The performance of the proposed model was verified and also compared with six chosen SRGMs using failure data from 18 software systems and the model is found to be adequate in terms of goodness
Neural, Parallel & Scientific Computations archive
A Note on the Lee–Chang–Pham–Song Software Reliability Model2018 •
In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) by sigmoidal function based on the Lee–Chang–Pham– Song cumulative function and find an expression for the error of the best approximation. We give real examples with small on–line data provided by IBM entry software package using the model. The potentiality of the software reliability models is analyzed. Lee–Chang–Pham–Song’s idea of including the characteristic t (the time when debugging starts after modifying the code causing syntax errors) in the study of models in debugging theory can be successfully expanded. For instance, for the Goel (1980) software reliability model. AMS Subject Classification: 41A46
International journal of differential equations and applications
A Note on the Extended Song–Chang–Pham’s Software Reliability Model. II2019 •
The determination of compulsory in area of the Software ReliabilityTheory components, such as confidence intervals and confidence bounds, should alsobe accompanied by a serious analysis of the value of the best Hausdorff approximation- the subject of study in the present paper.For example we study the Hausdorff approximation of the shifted Heaviside functionht0(t) by cumulative function based on the extended Song–Chang–Pham’s model [1](see, also [2]).We propose a software module within the programming environment CAS Mathe-matica for the analysis of the considered family of functions.We give real example with dataset using the new extended Song–Chang–Pham’ssoftware reliability model.
1990 •
Properties of software failure times modelled as realizations of order statistics generated by independent but non-identically distributed exponential random variables are developed. Edgeworth and saddle point approximations to central order statistic densities so generated are developed using an exact integral representation of these densities. A comparison of Edgeworth and saddle point approximation with exact densities for two different population types is given. The accuracy of the saddle point approximation, even for very small population sizes (N = 6) and small samples'(n = 2) is excellent. The same technique is used to provide an exact integral representation of the probability that a particular fault appears in a sample of a given size. Some numerical comparisons of Rosen's (1972) approximation of inclusion probabilities with exact values are provided. His simple approximation appears to give excellent results as well. The intimate connection between successive sampl...
2013 •
Department of Information Engineering, Graduate School of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima 739-8527, JAPAN (Received on February 27, 2012, revised on December 04, 2012) Abstract: The non-homogeneous Poisson processes (NHPPs) based software reliability models (SRMs) have gained much popularity in actual software testing phases to assess the software reliability, the number of remaining software faults and the software release scheduling. It is well known that the Weibull distribution plays an important role in reliability applications because of its flexibility in being able to represent various patterns of failure rate functions. In this paper, we introduce some recent generations of Weibull distribution to represent the underlying software fault-detection time distribution of the NHPP-based SRMs. We study the effectiveness of Weibull-type distributions in software reliability modeling through goodness-of-fit test and prediction analysis.
The parameter estimation for the Compound Poisson Software Reliability Model is ana- lyzed. The biased characteristic is considered in order to get better performance. A com- parison with the well known Non Homogeneous Software Reliability Models is presented. Several experimental data are used in order to analyze the goodness of fit of both models.
Academia Letters
Aging population and the necessity of Financial Literacy from Bangladesh Perspective2021 •
Temas em Educação e Saúde
Humberto Maturana y la humanidad en la formación del profesorado: aportes para un sentipensar en la educación2021 •
HISTORIADOR Y PODER, EL HISTORIADOR EN EL PODER: ALFONSO X EL SABIO Y SU ÉPOCA.
Crônica como discurso político. Transformação dos modelos comportamentais por meio de idealização e transformação de figuras épicas na Estoria de España de Alfonso X. Хроника как политический дискурс.2024 •
International Journal of Engineering & Technology
Aligned MHD Magnetic Nanofluid Flow Past a Static Wedge2018 •
South African journal of industrial engineering
Developing a Value Engineering Model for a State-Owned Enterprise2024 •
Proceedings of the SIGCOMM '21 Poster and Demo Sessions
A cloud-scale per-flow backpressure system via FPGA-based heavy hitter detection2021 •
2020 •
Anais do IV International Symposium on Immunobiological e VII Seminário Anual Científico e Tecnológico de Bio-Manguinhos
In silico directed evolution in antibody engineering: a promising approach to improvement antitumor biopharmaceuticals2019 •
Marine and Coastal Fisheries: Dynamics, Management, and Ecosystem Science
Length‐Based Assessment of an Artisanal Albulid Fishery in the South Pacific: a Data‐Limited Approach for Management and Conservation2019 •
Biophysical Journal
United States--Australia workshop on membrane biophysics1992 •
Journal of Medical Virology
Pneumococcal coinfection in COVID‐19 patients2020 •