• Title/Summary/Keyword: Probability and Statistics

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An empirical study on the perception of probability and statistics: With focus on S/W and H/W majors (소프트웨어와 하드웨어 전공자들의 확률 및 통계 교과목 인식에 관한 실증적 고찰)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.4
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    • pp.651-660
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    • 2011
  • This study aims at improving teaching and learning abilities on the courses of probability/statistics in the fields of the S/W and H/W. In order to do this, this paper firstly conducts a survey which measures the perception of the surveyees' necessity of the related courses, and includes the contents that the related courses should cover. Secondly, this paper analyzes the educational effect on the achievement by studying Pattern Recognition, a major course of S/W and H/W, with combining probability/statistics or data analysis. Lastly, this paper suggests the promising pedagogical method for educating probability/statistics by using a survey and the case studies. In this way, this paper shows the necessity of probability/statistics for acquiring a new technology and the flexible approach of various subjects.

Surplus Process Perturbed by Diffusion and Subject to Two Types of Claim

  • Choi, Seung Kyoung;Won, Hojeong;Lee, Eui Yong
    • Communications for Statistical Applications and Methods
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    • v.22 no.1
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    • pp.95-103
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    • 2015
  • We introduce a surplus process which follows a diffusion process with positive drift and is subject to two types of claim. We assume that type I claim occurs more frequently, however, its size is stochastically smaller than type II claim. We obtain the ruin probability that the level of the surplus becomes negative, and then, decompose the ruin probability into three parts, two ruin probabilities caused by each type of claim and the probability that the level of the surplus becomes negative naturally due to the diffusion process. Finally, we illustrate a numerical example, when the sizes of both types of claim are exponentially distributed, to compare the impacts of two types of claim on the ruin probability of the surplus along with that of the diffusion process.

Computer Program Development for Probability Distribution

  • Choi, Hyun-Seok;Song, Gyu-Moon
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.3
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    • pp.581-589
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    • 2005
  • The purpose of this thesis is to develop and introduce Add-in program which we can systematically, visually and dynamically study discrete probability distribution of binomial distribution, poisson distribution and hypergeometric distribution, and continuous probability distribution of normal distribution, exponential distribution, and the definition and characteristics of t distribution, F distribution and ${\chi}^2$ distribution to be driven from normal distribution, and graphs, the computation process of probability by using VBA which is the device of Excel.

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A study on the improvement of academic achievement of probability and statistics in the hardware curriculum (하드웨어 전공자들의 확률 및 통계 관련 학업성취도 제고에 관한 연구)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.4
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    • pp.887-898
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    • 2016
  • The purpose of this study is to improve the learning ability of probability/statistics for H/W majors. Firstly, we developed a teaching method coupling probability/statistics with programming and multimedia signal processing courses that are opened in the H/W major curriculum. By use of its teaching-learning, we tried to verify the effectiveness on the improvement of learner's academic achievement and then analyze its educational efficiency through the regression analysis. Secondly, by analyzing the surveys and the statistical results of the education cases, we proposed a management plan on efficient teaching-learning in order to cultivate the learning ability of probability/statistics at a future time. Lastly, we concluded that probability/statistics is a required course of learners so as to contribute for the advanced technical development and the enhanced competitiveness in the field of the H/W.

Noninformative priors for Pareto distribution

  • Kim, Dal-Ho;Kang, Sang-Gil;Lee, Woo-Dong
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1213-1223
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    • 2009
  • In this paper, we develop noninformative priors for two parameter Pareto distribution. Specially, we derive Jereys' prior, probability matching prior and reference prior for the parameter of interest. In our case, the probability matching prior is only a first order matching prior and there does not exist a second order matching prior. Some simulation reveals that the matching prior performs better to achieve the coverage probability. A real example is also considered.

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The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks

  • Han, Sun-Young;Rosli, Roslinda;Capraro, Robert M.;Capraro, Mary M.
    • Research in Mathematical Education
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    • v.15 no.2
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    • pp.127-140
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    • 2011
  • "Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

A Compound Poisson Risk Model with a Two-Step Premium Rule

  • Song, Mi Jung;Lee, Jiyeon
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.377-385
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    • 2013
  • We consider a compound Poisson risk model in which the premium rate changes when the surplus exceeds a threshold. The explicit form of the ruin probability for the risk model is obtained by deriving and using the overflow probability of the workload process in the corresponding M/G/1 queueing model.

Statistics and Probability Distribution of Total Coliforms in Wastewater (하수에서의 대장균수 확률분포 특성 분석)

  • Jun, Sang Min;Song, Inhong;Jeong, Han Seok;Kang, Moon Seong;Park, Seung Woo
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.3
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    • pp.105-111
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    • 2013
  • Probability distribution of microbes in wastewater is a crucial factor to be determined for microbial risk assessment associated with its reuse. The objective of this study was to investigate probability distribution of an indicator microorganism in wastewater. Daily total coliform counts measured from nationwide wastewater treatment plants in 2010 by the Ministry of Environment were used for statistical analysis. Basic statistics and probability distributions were estimated in the three different spatial scales using the MS Excel software and FARD2006 model. Overall, wastewater from manure and livestock treatment plants demonstrated greater median coliform counts than from sewage and village treatment plants. Generalized logistic (GLO) and 2-parameter Weibull (WBU2) appeared to be the two probability distributions that fitted best for total coliform numbers in wastewater. The study results of microbial statistics and probability distributions would provide useful data for quantitative assessment of microbial risk from agricultural wastewater reuse.

STOCHASTIC INEQUALITIES IN TWO REPAIRABLE UNITS

  • PARK, TAE-KEUN;PARK, YOUNG-SUNG
    • Honam Mathematical Journal
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    • v.23 no.1
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    • pp.145-158
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    • 2001
  • In this paper we investigated a replacement model with two types of repairs. Repairs are classified into minimal and perfect repair. An operating unit is completely replaced whenever it reaches age ${\tau}({\tau}>0)$(planned replacement). If it fails at age $t<{\tau}$, it is either restored by a entire unit with probability p(t)(perfect repair), or it undergoes minimal repair with probability $\bar{p}(t)=1-p(t)$. After a planned replacement, the procedure is repeated.

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