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Wyszukujesz frazę "distribution function" wg kryterium: Temat


Wyświetlanie 1-9 z 9
Tytuł:
A Modification of the Probability Weighted Method of Moments and its Application to Estimate the Financial Return Distribution Tail
Autorzy:
Małecka, Marta
Pekasiewicz, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/465796.pdf
Data publikacji:
2014
Wydawca:
Główny Urząd Statystyczny
Tematy:
PWMM
generalized Pareto distribution
tail estimate
distribution function estimate
Opis:
The issue of fitting the tail of the random variable with an unknown distribution plays a pivotal role in finance statistics since it paves the ground for estimation of high quantiles and subsequently offers risk measures. The parametric estimation of fat tails is based on the convergence to the generalized Pareto distribution (GPD). The paper explored the probability weighted method of moments (PWMM) applied to estimation of the GPD parameters. The focus of the study was on the tail index, commonly used to characterize the degree of tail fatness. The PWMM algorithm requires specification of the cdf estimate of the so-called excess variable and depends on the choice of the order of the probability weighted moments. We suggested modification of the PWMM method through the application of the level crossing empirical distribution function. Through the simulation study, the paper investigated statistical properties of the GPD shape parameter estimates with reference to the PWMM algorithm specification. The simulation experiment was designed with the use of fat-tailed distributions with parameters assessed on the basis of the empirical daily data for DJIA index. The results showed that, in comparison to the commonly used cdf formula, the choice of the level crossing empirical distribution function improved the statistical properties of the PWMM estimates. As a complementary analysis, the PWMM tail estimate of DJIA log returns distribution was presented.
Źródło:
Statistics in Transition new series; 2014, 15, 3; 495-506
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kernel Estimation of Cumulative Distribution Function of a Random Variable with Bounded Support
Autorzy:
Baszczyńska, Aleksandra
Powiązania:
https://bibliotekanauki.pl/articles/465685.pdf
Data publikacji:
2016
Wydawca:
Główny Urząd Statystyczny
Tematy:
boundary effects
cumulative distribution function
kernel method
bounded support
Opis:
In the paper methods of reducing the so-called boundary effects, which appear in the estimation of certain functional characteristics of a random variable with bounded support, are discussed. The methods of the cumulative distribution function estimation, in particular the kernel method, as well as the phenomenon of increased bias estimation in boundary region are presented. Using simulation methods, the properties of the modified kernel estimator of the distribution function are investigated and an attempt to compare the classical and the modified estimators is made.
Źródło:
Statistics in Transition new series; 2016, 17, 3; 541-556
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Triple-goal Estimation of Unemployment Rates for U.S. States Using the U.S. Current Population Survey Data
Autorzy:
Bonnéry, Daniel
Cheng, Yang
Ha, Neung Soo
Lahiri, Partha
Powiązania:
https://bibliotekanauki.pl/articles/465991.pdf
Data publikacji:
2015
Wydawca:
Główny Urząd Statystyczny
Tematy:
complex survey data
empirical distribution function
Monte Carlo Markov Chain
rank
risk
small area estimation
Opis:
In this paper, we first develop a triple-goal small area estimation methodology for simultaneous estimation of unemployment rates for U.S. states using the Current Population Survey (CPS) data and a two-level random sampling variance normal model. The main goal of this paper is to illustrate the utility of the triple-goal methodology in generating a single series of unemployment rate estimates for three separate purposes: developing estimates for individual small area means, producing empirical distribution function (EDF) of true small area means, and the ranking of the small areas by true small area means. We achieve our goal using a Monte Carlo simulation experiment and a real data analysis.
Źródło:
Statistics in Transition new series; 2015, 16, 4; 511-522
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized extended Marshall-Olkin family of lifetime distributions
Autorzy:
Goldoust, Mehdi
Mohammadpour, Adel
Powiązania:
https://bibliotekanauki.pl/articles/2034093.pdf
Data publikacji:
2022-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
compound distribution
hazard rate function
lifetime distribution
maximum likelihood estimation
power series distribution
Opis:
We introduce a new generalized family of nonnegative continuous distributions by adding two extra parameters to a lifetime distribution, called the baseline distribution, by twice compounding a power series distribution. The new family, called the lifetime power series-power series family, has a serial arrangement of parallel structures, which extends the Marshall and Olkin structure. Four special models are discussed. A mathematical treatment of the new distributions is provided, including ordinary and incomplete moments, quantile, moment generating and mean residual functions. The maximum likelihood estimation technique is used to estimate the model parameters and a simulation study is conducted to investigate the performance of the maximum likelihood estimates. Its applicability is also illustrated by means of two real data sets.
Źródło:
Statistics in Transition new series; 2022, 23, 1; 55-74
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New polynomial exponential distribution: properties and applications
Autorzy:
Beghriche, Abdelfateh
Zeghdoudi, Halim
Raman, Vinoth
Chouia, Sarra
Powiązania:
https://bibliotekanauki.pl/articles/2108330.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
exponential distribution
Xgamma distribution
Lindley distribution
quantile function stochastic ordering
maximum-likelihood estimation
XLindley distribution
Opis:
The study describes the general concept of the XLindley distribution. Forms of density and hazard rate functions are investigated. Moreover, precise formulations for several numerical properties of distributions are derived. Extreme order statistics are established using stochastic ordering, the moment method, the maximum likelihood estimation, entropies and the limiting distribution. We demonstrate the new family's adaptability by applying it to a variety of real-world datasets.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 95-112
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Agu-Eghwerido distribution, regression model and applications
Autorzy:
Agu, Friday Ikechukwu
Eghwerido, Joseph Thomas
Powiązania:
https://bibliotekanauki.pl/articles/1917110.pdf
Data publikacji:
2021-12-08
Wydawca:
Główny Urząd Statystyczny
Tematy:
AGUE distribution
AGUE regression model
moment generating function
means residual function
hazard rate function
survival rate function
Opis:
Modelling lifetime data with simple mathematical representations and an ease in obtaining the parameter estimate of survival models are crucial quests pursued by survival researchers. In this paper, we derived and introduced a one-parameter distribution called the Agu-Eghwerido (AGUE) distribution with its simple mathematical representation. The regression model of the AGUE distribution was also presented. Several basic properties of the new distribution, such as reliability measures, mean residual function, median, moment generating function, skewness, kurtosis, coefficient of variation, and index of dispersion, were derived. The estimation of the proposed distribution parameter was based on the maximum likelihood estimation method. The real-life applications of the distribution were illustrated using two real lifetime negatively and positively skewed data sets. The new distribution provides a better fit than the Pranav, exponential, and Lindley distributions for the data sets. The simulation results showed that the increase in parameter values decreases the mean squared error value. Similarly, the mean estimate tends towards the true parameter value as the sample sizes increase.
Źródło:
Statistics in Transition new series; 2021, 22, 4; 59-76
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interval shrinkage estimation of the parameter of exponential distribution in the presence of outliers under loss functions
Autorzy:
Nasiri, Parviz
Powiązania:
https://bibliotekanauki.pl/articles/2108120.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
interval information
mean square error
shrinkage estimator
exponential distribution
uniform distribution
outliers
Linex loss function
Opis:
In this paper, we studied estimators based on an interval shrinkage with equal weights point shrinkage estimators for all individual target points θ¯ ∈ (θ0, θ1) for exponentially distributed observations in the presence of outliers drawn from a uniform distribution. Estimators obtained from both shrinkage and interval shrinkage were compared, showing that the estimators obtained via the interval shrinkage method perform better. Symmetric and asymmetric loss functions were also used to calculate the estimators. Finally, a numerical study and illustrative examples were provided to describe the results.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 65-78
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparison of the method of moments estimator and maximum likelihood estimator for the success probability in the Fibonacci-type probability distribution
Autorzy:
Kwon, Yeil
Powiązania:
https://bibliotekanauki.pl/articles/2107135.pdf
Data publikacji:
2022-09-14
Wydawca:
Główny Urząd Statystyczny
Tematy:
Fibonacci probability distribution
generalized polynacci distribution
factorial moment generating function
method of moments
maximum likelihood estimator
Opis:
A Fibonacci-type probability distribution provides the probabilistic models for establishing stopping rules associated with the number of consecutive successes. It can be interpreted as a generalized version of a geometric distribution. In this article, after revisiting the Fibonaccitype probability distribution to explore its definition, moments and properties, we proposed numerical methods to obtain two estimators of the success probability: the method of moments estimator (MME) and maximum likelihood estimator (MLE). The ways both of them performed were compared in terms of the mean squared error. A numerical study demonsrated that the MLE tends to outperform the MME for most of the parameter space with various sample sizes.
Źródło:
Statistics in Transition new series; 2022, 23, 3; 27-41
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Two-Parameter Lindley Distribution
Autorzy:
Shanker, R.
Mishra, A.
Powiązania:
https://bibliotekanauki.pl/articles/465861.pdf
Data publikacji:
2013
Wydawca:
Główny Urząd Statystyczny
Tematy:
Lindley distribution
moments
failure rate function
mean residual life function
stochastic ordering
estimation of parameters
goodness of fit
Opis:
A two-parameter Lindley distribution, of which the Lindley distribution (LD) is a particular case, has been introduced. Its moments, failure rate function, mean residual life function and stochastic orderings have been discussed. The maximum likelihood method and the method of moments have been discussed for estimating its parameters. The distribution has been fitted to some data-sets to test its goodness of fit.
Źródło:
Statistics in Transition new series; 2013, 14, 1; 45-56
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-9 z 9

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