• Title/Summary/Keyword: poisson and exponential distributions

Search Result 21, Processing Time 0.02 seconds

A NEW EXPONENTIAL DIRECTED DIVERGENCE INFORMATION MEASURE

  • JAIN, K.C.;CHHABRA, PRAPHULL
    • Journal of applied mathematics & informatics
    • /
    • v.34 no.3_4
    • /
    • pp.295-308
    • /
    • 2016
  • Depending upon the nature of the problem, different divergence measures are suitable. So it is always desirable to develop a new divergence measure. In the present work, new information divergence measure, which is exponential in nature, is introduced and characterized. Bounds of this new measure are obtained in terms of various symmetric and non- symmetric measures together with numerical verification by using two discrete distributions: Binomial and Poisson. Fuzzy information measure and Useful information measure corresponding to new exponential divergence measure are also introduced.

On NBUL class at specific age

  • Mahmoud, M.A.W.;Moshref, M.E.;Gadallah, A.M.
    • International Journal of Reliability and Applications
    • /
    • v.15 no.1
    • /
    • pp.11-22
    • /
    • 2014
  • New classes of life distributions called new better (worse) than used at age $t_0$ in Laplace transform order, NBUL- $t_0$(NWUL - $t_0$) are introduced. For the classes NBUL - $t_0$(NWUL - $t_0$), preservation under convolution, mixture, mixing and the homogeneous Poisson shock model are studied. In the sequel, we obtain a test for $H_0$ : F is exponential versus $H_1$ : F is NBUL - $t_0$ and not exponential. The critical values and the powers of this test are calculated to assess the performance of the test. It is shown that the proposed test has high efficiencies for some commonly used distributions in reliability. Sets of real data are used as examples to elucidate the use of the proposed test for practical problems.

  • PDF

BINOMIAL PROMOTION AND POISSON RECRUITMENT MODEL FOR MANPOWER DEVELOPMENT

  • Etuk, U.H.
    • The Pure and Applied Mathematics
    • /
    • v.4 no.2
    • /
    • pp.105-110
    • /
    • 1997
  • The distribution of staff in a hierachial organization has been studied in a variety of forms and models. Results here show that the promotion process follows a binomial distribution with parameters n and $\alpha=e^{-pt}$ and the recruitment process follows a poisson distribution with parameter $\lambda$. Futhermore, the mean time to promotion in the grade was estimated.

  • PDF

Sufficient Conditions for the Admissibility of Estimators in the Multiparameter Exponential Family

  • Dong, Kyung-Hwa;Kim, Byung-Hwee
    • Journal of the Korean Statistical Society
    • /
    • v.22 no.1
    • /
    • pp.55-69
    • /
    • 1993
  • Consider the problem of estimating an arbitrary continuous vector function under a weighted quadratic loss in the multiparameter exponential family with the density of the natural form. We first provide, using Blyth's (1951) method, a set of sufficient conditions for the admisibility of (possibly generalized Bayes) estimators and then treat some examples for normal, Poisson, and gamma distributions as applications of the main result.

  • PDF

A discretization method of the three-dimensional poisson's equation with excellent convergence characteristics (우수한 수렴특성을 갖는 3차원 포아송 방정식의 이산화 방법)

  • 김태한;이은구;김철성
    • Journal of the Korean Institute of Telematics and Electronics D
    • /
    • v.34D no.8
    • /
    • pp.15-25
    • /
    • 1997
  • The integration method of carier concentrations to redcue the discretization error of th box integratio method used in the discretization of the three-dimensional poisson's equation is presented. The carrier concentration is approximated in the closed form as an exponential function of the linearly varying potential in the element. The presented method is implemented in the three-dimensional poisson's equation solver running under the windows 95. The accuracy and the convergence chaacteristics of the three-dimensional poisson's equation solver are compared with those of DAVINCI for the PN junction diode and the n-MOSFET under the thermal equilibrium and the DC reverse bias. The potential distributions of the simulatied devices from the three-dimensional poisson's equation solver, compared with those of DAVINCI, has a relative error within 2.8%. The average number of iterations needed to obtain the solution of the PN junction diode and the n-MOSFET using the presented method are 11.47 and 11.16 while the those of DAVINCI are 21.73 and 23.0 respectively.

  • PDF

A Study on the Optimal Order of Queueing System with three Stations (세개의 창구로 구성된 큐잉시스템의 최적순서에 관한 연구)

  • 조한벽;김재련
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.14 no.24
    • /
    • pp.149-154
    • /
    • 1991
  • The one of the important problems in the design of queueing systems is the decision of the order of service stations. The object of this problem is the decision of the order that minimizes the expected sojourn time per customer in the given arrival process and service time distributions. In this paper, the tandem queueing system in series is studied with the emphasis on the optimal order of the tandem queueing system which has three stations with single servers. In one system, customers arrive at the first station with Poisson process. This system is composed of service stations with a constant, a general distribution and a Exponential distribution is studied. To select the optimal order after the orders of each pair of two stations is decided, it is compared the two orders of system. With this results, total expected delay of the systems which has three stations is compared. The result is the best that service station with constant time is on the first place, then the service station with general distribution and the service station with Exponential distribution is followed. And the other system is consist of service stations with a constant and two probabilistic distributions. In this case, two probabilistic distributions has a non-overlapping feature. It is the optimal order that the service station with constant time is on the first place then the service station with longer service time and the service station with shorter service time is followed.

  • PDF

A unified method for stresses in FGM sphere with exponentially-varying properties

  • Celebi, Kerimcan;Yarimpabuc, Durmus;Keles, Ibrahim
    • Structural Engineering and Mechanics
    • /
    • v.57 no.5
    • /
    • pp.823-835
    • /
    • 2016
  • Using the Complementary Functions Method (CFM), a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material (FGM) is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson's ratio is assumed to be constant, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the present paper, a semi-analytical iterative technique, one of the most efficient unified method, is employed to solve the heat conduction equation and the Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress, circumferential stress, and effective stress, as a function of radial direction, are obtained. Various material models from the literature are used and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained.

A Study on the Optimal Order of Queueing Networks in Series (시리즈로 구성된 큐잉망의 최적 순서에 관한 연구)

  • Cho, Han Byeog;Kim, Jae Yearn
    • Journal of Korean Society for Quality Management
    • /
    • v.19 no.2
    • /
    • pp.133-137
    • /
    • 1991
  • In this paper, the queueing system in series is studied. The system is a tandem queueing system which has three stations. In system, one service station has a general distributions and two service stations have exponential distribution. Each station has a single server. The customer arrives with Poisson process and is serviced sequentially. It is assumed that the order of stations does not affect the quality of services. Using the light traffic approximations, the optimal order of the system which has the three stations is decided.

  • PDF

ON THE EXISTENCE OF THE TWEEDIE POWER PARAMETER IMPLICIT ESTIMATOR

  • Ghribi, Abdelaziz;Hassin, Aymen;Masmoudi, Afif
    • Bulletin of the Korean Mathematical Society
    • /
    • v.59 no.4
    • /
    • pp.979-991
    • /
    • 2022
  • A special class of exponential dispersion models is the class of Tweedie distributions. This class is very significant in statistical modeling as it includes a number of familiar distributions such as Gaussian, Gamma and compound Poisson. A Tweedie distribution has a power parameter p, a mean m and a dispersion parameter 𝜙. The value of the power parameter lies in identifying the corresponding distribution of the Tweedie family. The basic objective of this research work resides in investigating the existence of the implicit estimator of the power parameter of the Tweedie distribution. A necessary and sufficient condition on the mean parameter m, suggesting that the implicit estimator of the power parameter p exists, was established and we provided some asymptotic properties of this estimator.

Generalized nonlinear percentile regression using asymmetric maximum likelihood estimation

  • Lee, Juhee;Kim, Young Min
    • Communications for Statistical Applications and Methods
    • /
    • v.28 no.6
    • /
    • pp.627-641
    • /
    • 2021
  • An asymmetric least squares estimation method has been employed to estimate linear models for percentile regression. An asymmetric maximum likelihood estimation (AMLE) has been developed for the estimation of Poisson percentile linear models. In this study, we propose generalized nonlinear percentile regression using the AMLE, and the use of the parametric bootstrap method to obtain confidence intervals for the estimates of parameters of interest and smoothing functions of estimates. We consider three conditional distributions of response variables given covariates such as normal, exponential, and Poisson for three mean functions with one linear and two nonlinear models in the simulation studies. The proposed method provides reasonable estimates and confidence interval estimates of parameters, and comparable Monte Carlo asymptotic performance along with the sample size and quantiles. We illustrate applications of the proposed method using real-life data from chemical and radiation epidemiological studies.