• Title/Summary/Keyword: Distribution data

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Classical and Bayesian methods of estimation for power Lindley distribution with application to waiting time data

  • Sharma, Vikas Kumar;Singh, Sanjay Kumar;Singh, Umesh
    • Communications for Statistical Applications and Methods
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    • v.24 no.3
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    • pp.193-209
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    • 2017
  • The power Lindley distribution with some of its properties is considered in this article. Maximum likelihood, least squares, maximum product spacings, and Bayes estimators are proposed to estimate all the unknown parameters of the power Lindley distribution. Lindley's approximation and Markov chain Monte Carlo techniques are utilized for Bayesian calculations since posterior distribution cannot be reduced to standard distribution. The performances of the proposed estimators are compared based on simulated samples. The waiting times of research articles to be accepted in statistical journals are fitted to the power Lindley distribution with other competing distributions. Chi-square statistic, Kolmogorov-Smirnov statistic, Akaike information criterion and Bayesian information criterion are used to access goodness-of-fit. It was found that the power Lindley distribution gives a better fit for the data than other distributions.

Power t distribution

  • Zhao, Jun;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.23 no.4
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    • pp.321-334
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    • 2016
  • In this paper, we propose power t distribution based on t distribution. We also study the properties of and inferences for power t model in order to solve the problem of real data showing both skewness and heavy tails. The comparison of skew t and power t distributions is based on density plots, skewness and kurtosis. Note that, at the given degree of freedom, the kurtosis's range of the power t model surpasses that of the skew t model at all times. We draw inferences for two parameters of the power t distribution and four parameters of the location-scale extension of power t distribution via maximum likelihood. The Fisher information matrix derived is nonsingular on the whole parametric space; in addition we obtain the profile log-likelihood functions on two parameters. The response plots for different sample sizes provide strong evidence for the estimators' existence and unicity. An application of the power t distribution suggests that the model can be very useful for real data.

Exponentiated Quasi Lindley distribution

  • Elbatal, I.;Diab, L.S.;Elgarhy, M.
    • International Journal of Reliability and Applications
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    • v.17 no.1
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    • pp.1-19
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    • 2016
  • The Exponentiated Quasi Lindley (EQL) distribution which is an extension of the quasi Lindley Distribution is introduced and its properties are explored. This new distribution represents a more flexible model for the lifetime data. Some statistical properties of the proposed distribution including the shapes of the density and hazard rate functions, the moments and moment generating function, the distribution of the order statistics are given. The maximum likelihood estimation technique is used to estimate the model parameters and finally an application of the model with a real data set is presented for the illustration of the usefulness of the proposed distribution.

Derivation and utilization of probability distribution of credit card usage behavior (신용카드 이용행태의 확률분포 도출과 활용)

  • Lee, Chan-Kyung;Roh, Hyung-Bong
    • Journal of Korean Society for Quality Management
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    • v.46 no.1
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    • pp.95-112
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    • 2018
  • Purpose: To find out the appropriate probability distribution of credit card usage behavior by considering the relationship among income, expenditure and credit card usage amount. Such relationship is enabled by Korea's especially high penetration of credit card. Method: Goodness-of-fit test and effect size statistic W were used to identify the distribution of income and credit card usage amount. A simulation model is introduced to generate the credit card transactions on individual user level. Result: The three data sets for testing had either passed the chi-square test or showed low W values, meaning they follow the exponential distribution. And the exponential distribution turned out to fit the data sets well. The r values were very high. Conclusion: The credit card usage behavior, denoted as the counts of users by usage amount band, follows the exponential distribution. This distribution is easy to manipulate, has a variety of applications and generates important business implications.

Empirical Study on the Dip Design and Installation of Distribution Line Conductors (배전선로의 이도설계 및 시공에 대한 실증연구)

  • Ahn, Ihn-Seok
    • Journal of the Korean Society of Industry Convergence
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    • v.24 no.3
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    • pp.307-313
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    • 2021
  • In this study, the comparative analysis, among the design standard value of distribution power, the calculated value from the measurement data of strand and the empirical data of the distribution line itself, have been performed for the elastic coefficients and linear expansion coefficients of distribution line conductors. The empirical values of elastic coefficients were lower about 10.6%(892kgf/mm2) than those of the design standard value of the distribution power and there were a little difference between the empirical values of linear expansion coefficients and the design standard value of the distribution power. From the above results, it could be concluded that the empirical values of conductor characteristics should be used in the dip design and installation of distribution line.

Distribution of BehavioralIntention: Analysis of Service Innovation, Corporate Image, and Customer Satisfaction

  • Kusuma SOYTHONG;Kittipol WISAENG
    • Journal of Distribution Science
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    • v.21 no.9
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    • pp.13-22
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    • 2023
  • Purpose: This study investigates the direct effect of service innovation and corporate image on distribution of behavioral intention and the mediating effect of customer satisfaction on these relationships. Research design, and methodology: The study was conducted through using a questionnaire as a research tool. The data were collected from 444 banking customers who used mobile banking services in Thailand. The data were analyzed through using the structural equation model (SEM). Results: The results demonstrated that service innovation and corporate image had a statistically significant effect on distribution of behavioral intention. Customer satisfaction did not mediate the relationship between service innovation and distribution of behavioral intention. On the other hand, it was found to mediate the link between corporate image and distribution of behavioral intention partially. Conclusions: These results emphasize the significance of strategic marketing practices in shaping customers' perceptions of organizational image, which can subsequently influence their satisfaction with the services. Furthermore, this study highlights the role of service innovation in creating perceived values for customers, leading to a positive attitude toward the services and a higher intention to use them.

An Analysis of the Present Publishing Media: Focusing on Data Development and Distribution (출판미디어의 데이터 개발과 보급 현황 분석)

  • Kim, Jeong-Suk
    • Journal of the Korean BIBLIA Society for library and Information Science
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    • v.15 no.2
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    • pp.49-70
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    • 2004
  • This study is to analyze the present publishing media in order to grasp the trend of data development and distribution. For this, I analyze the present tendency, concentrating indices of diagram, dividing into traditional book and e-book. It also discusses the viewpoint extracted from the problems related to the data development and distribution of publishing media. Traditional books and e-books have been expending to add newly updated convergence media in digital media era in which internet represents. I discuss these changes to convergence media for the realization of 'ubiquitous' mean the evolution to transmit propagational elements from proper character of traditional book. By the same token, I examine prospect of increasing digital publishing media and other problems before distribution.

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A maximum likelihood estimation method for a mixture of shifted binomial distributions

  • Oh, Changhyuck
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.1
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    • pp.255-261
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    • 2014
  • Many studies have estimated a mixture of binomial distributions. This paper considers an extension, a mixture of shifted binomial distributions, and the estimation of the distribution. The range of each component binomial distribution is rst evaluated and then for each possible value of shifted parameters, the EM algorithm is employed to estimate those parameters. From a set of possible value of shifted parameters and corresponding estimated parameters of the distribution, the likelihood of given data is determined. The simulation results verify the performance of the proposed method.

A note on the distance distribution paradigm for Mosaab-metric to process segmented genomes of influenza virus

  • Daoud, Mosaab
    • Genomics & Informatics
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    • v.18 no.1
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    • pp.7.1-7.7
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    • 2020
  • In this paper, we present few technical notes about the distance distribution paradigm for Mosaab-metric using 1, 2, and 3 grams feature extraction techniques to analyze composite data points in high dimensional feature spaces. This technical analysis will help the specialist in bioinformatics and biotechnology to deeply explore the biodiversity of influenza virus genome as a composite data point. Various technical examples are presented in this paper, in addition, the integrated statistical learning pipeline to process segmented genomes of influenza virus is illustrated as sequential-parallel computational pipeline.

Statistical Relation between Worst Month and Annual Distribution for Rainfall Rate (강우강도 최악월 분포와 년 분포간의 상관관계 분석)

  • 이주환;최용석김재명
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.203-206
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    • 1998
  • Since it has been very difficult to collect Korean rain data for winter season, e.g. from November to March, it would be very useful to design satellite communication links if there is a method to extract annual distribution from rain data collected for a specific month. This paper presents a conversion method to annual rainfall rate distribution from rain data for worst month of a year, and illustrates some analysis of the conversion results.

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