Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "likelihood function" wg kryterium: Wszystkie pola


Wyświetlanie 1-14 z 14
Tytuł:
Wnioskowanie parametryczne i nieparametryczne w tablicach dwudzielczych i trójdzielczych
Nonparametric Versus Parametric Reasoning Based on Contingency Tables
Autorzy:
Sulewski, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/965080.pdf
Data publikacji:
2018
Wydawca:
Główny Urząd Statystyczny
Tematy:
wnioskowanie statystyczne
funkcja największej wiarygod-ności
tablice kontyngencji
test parametryczny
parametr przepływu prawdopo-dobieństwa
statistical inference
likelihood function
contingency tables
parametric test
probability flow parameter
Opis:
This paper proposes scenarios of generating two-way and three way contingency tables (CTs). A concept of probability flow parameter (PFP) plays a crucial role in these scenarios. Additionally, measures of untruthfulness of ܪ are defined. The power divergence statistics and the |ܺ| statistics are used. This paper is a simple attempt to replace a nonparametric statistical inference from CTs by the parametric one. Maximum likelihood method is applied to estimate PFP and instructions of generating CTs according to scenarios in question are presented. The Monte Carlo method is used to carry out computer simulations.
W artykule proponowane są scenariusze generowania tablic dwudzielczych (TD) z parametrem przepływu prawdopodobieństwa i zdefiniowane są miary nieprawdziwości H0. W artykule wykorzystywane są statystyki z rodziny ܺଶ oraz statystyka modułowa |ܺ|. Niniejsza praca jest prostą próbą zastąpienia nieparametrycznej metody wnioskowania statystycznego metodą parametryczną. Metoda największej wiarygodności jest wykorzystana do oszacowania parametru przepływu prawdopodobieństwa. W pracy opisane są także instrukcje generowania TD za pomocą metody słupkowej. Symulacje komputerowe przeprowadzono metodami Monte Carlo.
Źródło:
Przegląd Statystyczny; 2018, 65, 3; 314-349
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sequential Probability Ratio Test for Mean Based on Pseudo-Likelihood Function
Ilorazowy test sekwencyjny dla średniej oparty na funkcji pseudowiarygodności
Autorzy:
Pekasiewicz, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/905060.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
sequential probability ratio test
likelihood function
normal distribution
Opis:
Hypotheses about expected value of random variable can be verified by means of the parametric sequential probability ratio test in case of the known class of this variable's distribution. The problem with verification of such hypotheses occurs when we have no information about random variable distribution. Then, we have to apply non-parametric methods. The author of the paper proposes the application of pseudo-likelihood function instead of likelihood one in the statistic of sequential probability ratio test. Examples of application of the test based on the likelihood function ratio in selected kinds of distributions are presented together with the results of Monte Carlo analysis concerning properties of these tests.
Hipotezy o wartości oczekiwanej zmiennej losowej możemy zweryfikować parametrycznym ilorazowym testem sekwencyjnym, w przypadku znanej klasy rozkładu tej zmiennej. Problem z weryfikacją takich hipotez pojawia się, gdy nie posiadamy informacji o rozkładzie zmiennej losowej i musimy zastosować metody nieparametryczne. W procy proponowane jest wykorzystanie funkcji pseudowiarygodności, zamiast funkcji wiarygodności, w statystyce ilorazowego testu sekwencyjnego. Przykłady zastosowania testu opartego na ilorazie funkcji pseudowiarygodności dla wybranych rodzajów rozkładów s;j zaprezentowane w pracy wraz z wynikami analizy Monte Carlo dotyczącymi własności tych testów.
Źródło:
Acta Universitatis Lodziensis. Folia Oeconomica; 2009, 225
0208-6018
2353-7663
Pojawia się w:
Acta Universitatis Lodziensis. Folia Oeconomica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Record-based inference and associated cost analysis for the Weibull distribution
Autorzy:
Doostparast, M.
Powiązania:
https://bibliotekanauki.pl/articles/205931.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
cost analysis
likelihood function
record data
total time on test
Weibull model
lifetime model
Opis:
In statistical process control, record schemes are used to reduce the total time on test for the inspection inquiry. In these schemes, units are examined sequentially and successive minimum values are recorded. On the basis of record data, Samaniego and Whitaker (1986) obtained the maximum likelihood (ML) estimate of the mean for an exponential distribution. Since the two parameter Weibull model, as an extension of the exponential distribution, has a wide range of application, Hoinkes and Padgett (1994) derived the record-based ML estimators for the parameters of interest in this model. This paper shows that the ML estimates of the Weibull parameters do not always exist for the basis of records. Thus, a new scheme is proposed, in which the ML estimates of the parameters always exist. An analytic cost-based comparison between the usual and the New scheme is also carried out. Finally, some concluding remarks and open problems are formulated.
Źródło:
Control and Cybernetics; 2015, 44, 1; 163-177
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance of variance function estimators for autoregressive time series of order one: asymptotic normality and numerical study
Autorzy:
Borkowski, P.
Mielniczuk, J.
Powiązania:
https://bibliotekanauki.pl/articles/206217.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
autoregressive process
bandwidth
heteroscedasticity
integrated squared error
local linear and local maximum likelihood estimator
difference-based estimator
geometric moment contraction
variance function
volatility
Opis:
We study performance of several conditional variance estimators for an autoregressive time series which include local linear smoothers with various bandwidths, local likelihood and difference-based estimators. In the theoretical part, asymptotic normality of the local linear estimator of variance with no mixing assumptions imposed on the underlying process is proved. Moreover, numerical examples performed reveal that a two-stage local linear smoother with a bandwidth, proposed by Ruppert, Sheather and Wand, used to estimate the regression function and a simple rule of thumb bandwidth for variance estimation performs best for variances without much structure, whereas the bandwidth considered by Fan and Yao works very well for much more variable variances.
Źródło:
Control and Cybernetics; 2012, 41, 2; 415-441
0324-8569
Pojawia się w:
Control and Cybernetics
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:
Near-exact distributions for the generalized Wilks Lambda statistic
Autorzy:
Grilo, Luís
Coelho, Carlos
Powiązania:
https://bibliotekanauki.pl/articles/729992.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
independent Beta random variables
characteristic function
sum of Gamma random variables
likelihood ratio test statistic
proximity measures
Opis:
Two near-exact distributions for the generalized Wilks Lambda statistic, used to test the independence of several sets of variables with a multivariate normal distribution, are developed for the case where two or more of these sets have an odd number of variables. Using the concept of near-exact distribution and based on a factorization of the exact characteristic function we obtain two approximations, which are very close to the exact distribution but far more manageable. These near-exact distributions equate, by construction, some of the first exact moments and correspond to cumulative distribution functions which are practical to use, allowing for an easy computation of quantiles. We also develop three asymptotic distributions which also equate some of the first exact moments. We assess the proximity of the asymptotic and near-exact distributions obtained to the exact distribution using two measures based on the Berry-Esseen bounds. In our comparative numerical study we consider different numbers of sets of variables, different numbers of variables per set and different sample sizes.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2010, 30, 1; 53-86
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Likelihood and parametric heteroscedasticity in normal connected linear models
Autorzy:
Mexia, Joao
Real, Pedro
Powiązania:
https://bibliotekanauki.pl/articles/729942.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
linear model
connected model
normal model
maximum likelihood estimators
score function
Newton-Raphson method
Opis:
A linear model in which the mean vector and covariance matrix depend on the same parameters is connected. Limit results for these models are presented. The characteristic function of the gradient of the score is obtained for normal connected models, thus, enabling the study of maximum likelihood estimators. A special case with diagonal covariance matrix is studied.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2000, 20, 2; 177-188
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Lifetime distributions with wave-like bathtub hazard
Autorzy:
Guo, R.
Thiart, C.
Cui, Y.
Guo, D.
Powiązania:
https://bibliotekanauki.pl/articles/2069543.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
lifetime distribution
hazard
bathtub hazard
likelihood function
maximum likelihood estimation
Opis:
In this paper, we argue the necessity of dealing with lifetime distributions with wave-like bathtub hazard function. Four classes of wave-like bathtub hazards are investigated. For preparing maximum likelihood estimation of the hazard parameters, the first-order and second-order partial derivatives are derived.
Źródło:
Journal of Polish Safety and Reliability Association; 2011, 2, 1; 115--122
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
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:
Copula-based Stochastic Frontier Model with Autocorrelated Inefficiency
Autorzy:
Das, Arabinda
Powiązania:
https://bibliotekanauki.pl/articles/2076544.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stochastic frontier model
copula function
simulated maximum likelihood
Monte Carlo simulation
Opis:
The paper considers the modeling and estimation of the stochastic frontier model where the error components are assumed to be correlated and the inefficiency error is assumed to be autocorrelated. The multivariate FarlieGumble-Morgenstern (FGM) and normal copula are used to capture both the contemporaneous and the temporal dependence between, and among, the noise and the inefficiency components. The intractable multiple integrals that appear in the likelihood function of the model are evaluated using the Halton sequence based Monte Carlo (MC) simulation technique. The consistency and the asymptotic efficiency of the resulting simulated maximum likelihood (SML) estimators of the present model parameters are established. Finally, the application of model using the SML method to the real life US airline data shows significant noise-inefficiency dependence and temporal dependence of inefficiency.
Źródło:
Central European Journal of Economic Modelling and Econometrics; 2015, 2; 111-126
2080-0886
2080-119X
Pojawia się w:
Central European Journal of Economic Modelling and Econometrics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bayesian multidimensional-matrix polynomial empirical regression
Autorzy:
Mukha, Vladimir S.
Powiązania:
https://bibliotekanauki.pl/articles/2050059.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
regression function
parameter estimation
maximum likelihood estimation
Bayesian estimation
multidimensional matrice
Opis:
The problem of parameter estimation for the polynomial in the input variables regression function is formulated and solved. The input and output variables of the regression function are multidimensional matrices. The parameters of the regression function are assumed to be random independent multidimensional matrices with Gaussian distribution and known mean value and variance matrices. The solution to this problem is a multidimensional-matrix system of the linear algebraic equations in multidimensional-matrix unknown regression function parameters. We consider the particular cases of constant, affine and quadratic regression function, for which we have obtained formulas for parameter calculation. Computer simulation of the quadratic regression function is performed for the two-dimensional matrix input and output variables.
Źródło:
Control and Cybernetics; 2020, 49, 3; 291--314
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bayesian estimation of fertility rates under imperfect age reporting
Autorzy:
Verma, Vivek
Nath, Dilip C.
Dwivedi, S. N.
Powiązania:
https://bibliotekanauki.pl/articles/14761323.pdf
Data publikacji:
2023-03-15
Wydawca:
Główny Urząd Statystyczny
Tematy:
Fisher information
square error loss function
age-specific marital fertility rate
Bayes estimator
maximum likelihood principle
Opis:
This article outlines the application of the Bayesian method of parameter estimation to situations where the probability of age misreporting is high, leading to transfers of an individual from one age group to another. An essential requirement for Bayesian estimation is prior distribution, derived for both perfect and imperfect age reporting. As an alternative to the Bayesian methodology, a classical estimator based on the maximum likelihood principle has also been discussed. Here, the age misreporting probability matrix has been constructed using a performance indicator, which incorporates the relative performance of estimators based on age when reported correctly instead of misreporting. The initial guess of performance indicators can either be empirically or theoretically derived. The method has been illustrated by using data on Empowered Action Group (EAG) states of India from National Family Health Survey-3 (2005-2006) to estimate the total marital fertility rates. The present study reveals through both a simulation and real-life set-up that the Bayesian estimation method has been more promising and reliable in estimating fertility rates, even in situations where age misreporting is higher than in case of classical maximum likelihood estimates.
Źródło:
Statistics in Transition new series; 2023, 24, 2; 39-57
1234-7655
Pojawia się w:
Statistics in Transition new series
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A weighted version of Gamma distribution
Autorzy:
Jain, Kanchan
Singla, Neetu
Gupta, Rameshwar
Powiązania:
https://bibliotekanauki.pl/articles/729800.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
gamma distribution
weight function
hazard function
maximum likelihood estimator
Akaike Information criterion
Opis:
Weighted Gamma (WG), a weighted version of Gamma distribution, is introduced. The hazard function is increasing or upside-down bathtub depending upon the values of the parameters. This distribution can be obtained as a hidden upper truncation model. The expressions for the moment generating function and the moments are given. The non-linear equations for finding maximum likelihood estimators (MLEs) of parameters are provided and MLEs have been computed through simulations and also for a real data set. It is observed that WG fits better than its submodels (WE), Generalized Exponential (GE), Weibull and Exponential distributions.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 89-111
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
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
    Wyświetlanie 1-14 z 14

    Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies