• Title/Summary/Keyword: parameter estimation methods

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Estimation for Two-Parameter Generalized Exponential Distribution Based on Records

  • Kang, Suk Bok;Seo, Jung In;Kim, Yongku
    • Communications for Statistical Applications and Methods
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    • v.20 no.1
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    • pp.29-39
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    • 2013
  • This paper derives maximum likelihood estimators (MLEs) and some approximate MLEs (AMLEs) of unknown parameters of the generalized exponential distribution when data are lower record values. We derive approximate Bayes estimators through importance sampling and obtain corresponding Bayes predictive intervals for unknown parameters for lower record values from the generalized exponential distribution. For illustrative purposes, we examine the validity of the proposed estimation method by using real and simulated data.

On Estimating the Parameters of an Extended Form of Logarithmic Series Distribution

  • Kumar, C. Satheesh;Riyaza, A.
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.417-425
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    • 2013
  • We consider an extended version of a logarithmic series distribution and discuss the estimation of its parameters by the method of moments and the method of maximum likelihood. Test procedures are suggested to test the significance of the additional parameter of this distribution and all procedures are illustrated with the help of real life data sets. In addition, a simulation study is conducted to assess the performance of the estimators.

A Study on Reliability Evaluation of Application Software using Binomial-Type Model (이항형 모형을 이용한 응용 소프트웨어 의 신뢰성 평가에 관한 연구)

  • 조성건;이상철
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.25
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    • pp.53-62
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    • 1992
  • Computer software users develop and utilize their application software by themselves since Processing methods are different by quantity and qualify of the information The developed model needs input data and error numbers generated during the testing phases. However. total error numbers of the existing model and each error time was needed as data for developing the new model. But, maximum likelihood estimation must be used to exponential model of binomial-type and estimating of parameters by using the searched data. Parameter estimation can be done with trial and error or simulation.

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Random Parameter Negative Binomial Models of Interstate Accident Frequencies on Interchange Segment by Interchange Type/Region (RPNB 모형을 이용한 고속도로 인터체인지 구간에서의 교통사고모형 - 인터체인지 형태별/지역별로)

  • Lee, Geun Hee;Park, Minho;Roh, Jeonghyun
    • International Journal of Highway Engineering
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    • v.16 no.5
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    • pp.133-142
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    • 2014
  • PURPOSES : The objective was to develop the advanced method which could not explain each observation's specific characteristic in the present negative binomial method that results in under-estimation of the standard error(t-value inflation) and affects the confidence of whole derived results. METHODS : This study dealt with traffic accidents occurring within interchange segment on highway main line with RPNB(Random Parameter Negative Binomial) method that enables to take account of heterogeneity. RESULTS : As a result, AADT and lighting installation type on the road were revealed to have random parameter and in terms of other geometric variables, all were derived as fixed parameter(same effect on every segment). Also, marginal effects were adapted to analyze the relative effects on traffic accidents. CONCLUSIONS : This study proves that RPNB method which considers each observation's specific characteristics is better fitted to the accident data with geometrics. Thus, it is recommended that RPNB model or other methods which could consider the heterogeneity needs to be adapted in accident analysis.

Robust System Identification Algorithm Using Cross Correlation Function

  • Takeyasu, Kazuhiro;Amemiya, Takashi;Goto, Hiroyuki;Masuda, Shiro
    • Industrial Engineering and Management Systems
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    • v.1 no.1
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    • pp.79-86
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    • 2002
  • This paper proposes a new algorithm for estimating ARMA model parameters. In estimating ARMA model parameters, several methods such as generalized least square method, instrumental variable method have been developed. Among these methods, the utilization of a bootstrap type algorithm is known as one of the effective approach for the estimation, but there are cases that it does not converge. Hence, in this paper, making use of a cross correlation function and utilizing the relation of structural a priori knowledge, a new bootstrap algorithm is developed. By introducing theoretical relations, it became possible to remove terms, which is liable to include much noise. Therefore, this leads to robust parameter estimation. It is shown by numerical examples that using this algorithm, all simulation cases converge while only half cases succeeded with the previous one. As for the calculation time, judging from the fact that we got converged solutions, our proposed method is said to be superior as a whole.

Transformer Core Model and Parameter Estimation for ATP

  • Cho Sung-Don
    • KIEE International Transactions on Power Engineering
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    • v.5A no.4
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    • pp.385-389
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    • 2005
  • Power transformers would appear to be simple. However, due to their nonlinear and frequency-dependent behaviors, they can be one of the most complex system components to model. It is imperative that the applied models be appropriate for the range of frequencies and excitation levels that the system experiences. Transformer modeling is not a mature field and newer improved models must be made available in ATP packages. Further, there is a lack of published guidance on recommended modeling approaches. And there is typically not enough detailed design or test information available to determine the parameters for a given model. The purpose of this paper is to develop improved transformer core models for ATP and parameter estimation methods that can efficiently utilize the limited available information such as factory test reports.

A new vector control method for induction motor (새로운 유도전동기 벡터제어 기법)

  • 변윤섭;왕종배;백종현;박현준
    • Proceedings of the KSR Conference
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    • 2000.11a
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    • pp.680-687
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    • 2000
  • In this paper we present a new vector control scheme for induction motor. An exact knowledge of the rotor flux position is essential for a high-performance vector control. The position of the rotor flux is measured in the direct scheme or estimated in the indirect schemes. Since the estimation of the flux position requires a priori knowledge of the induction motor parameters, the indirect schemes are machine parameter dependent. The rotor resistance and stator resistance among the parameters change with temperature. Variations in the parameters of induction machine cause deterioration of both the steady state and dynamic operation of the induction motor drive. Several methods have been presented to minimize the consequences of parameter sensitivity in indirect scheme. In this paper new estimation scheme of rotor flux position is presented to eliminate sensitivity due to resistance change with temperature. Simulation results are used to verify the performance of the proposed vector control scheme.

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LH-Moments of Some Distributions Useful in Hydrology

  • Murshed, Md. Sharwar;Park, Byung-Jun;Jeong, Bo-Yoon;Park, Jeong-Soo
    • Communications for Statistical Applications and Methods
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    • v.16 no.4
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    • pp.647-658
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    • 2009
  • It is already known from the previous study that flood seems to have heavier tail. Therefore, to make prediction of future extreme label, some agreement of tail behavior of extreme data is highly required. The LH-moments estimation method, the generalized form of L-moments is an useful method of characterizing the upper part of the distribution. LH-moments are based on linear combination of higher order statistics. In this study, we have formulated LH-moments of five distributions useful in hydrology such as, two types of three parameter kappa distributions, beta-${\kappa}$ distribution, beta-p distribution and a generalized Gumbel distribution. Using LH-moments reduces the undue influences that small sample may have on the estimation of large return period events.

A new extended Birnbaum-Saunders model with cure fraction: classical and Bayesian approach

  • Ortega, Edwin M.M.;Cordeiro, Gauss M.;Suzuki, Adriano K.;Ramires, Thiago G.
    • Communications for Statistical Applications and Methods
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    • v.24 no.4
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    • pp.397-419
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    • 2017
  • A four-parameter extended fatigue lifetime model called the odd Birnbaum-Saunders geometric distribution is proposed. This model extends the odd Birnbaum-Saunders and Birnbaum-Saunders distributions. We derive some properties of the new distribution that include expressions for the ordinary moments and generating and quantile functions. The method of maximum likelihood and a Bayesian approach are adopted to estimate the model parameters; in addition, various simulations are performed for different parameter settings and sample sizes. We propose two new models with a cure rate called the odd Birnbaum-Saunders mixture and odd Birnbaum-Saunders geometric models by assuming that the number of competing causes for the event of interest has a geometric distribution. The applicability of the new models are illustrated by means of ethylene data and melanoma data with cure fraction.

Smoothing Parameter Selection in Nonparametric Spectral Density Estimation

  • Kang, Kee-Hoon;Park, Byeong-U;Cho, Sin-Sup;Kim, Woo-Chul
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.231-242
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    • 1995
  • In this paper we consider kernel type estimator of the spectral density at a point in the analysis of stationary time series data. The kernel entails choice of smoothing parameter called bandwidth. A data-based bandwidth choice is proposed, and it is obtained by solving an equation similar to Sheather(1986) which relates to the probability density estimation. A Monte Carlo study is done. It reveals that the spectral density estimates using the data-based bandwidths show comparatively good performance.

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