Results 11 to 20 of about 204 (147)

Properties and Inference for a New Class of Generalized Rayleigh Distributions with an Application

Open Mathematics, 2019
In the present paper, we introduce a new form of generalized Rayleigh distribution called the Alpha Power generalized Rayleigh (APGR) distribution by following the idea of extension of the distribution families with the Alpha Power transformation.
Biçer Hayrinisa Demirci
doaj   +1 more source

Power Birnbaum-Saunders Student t distribution

Revista Integración, 2017
The fatigue life distribution proposed by Birnbaum and Saunders has been used quite effectively to model times to failure for materials subject to fatigue.
Germán Moreno-Arenas, Guillermo Martínez-Flórez, Heleno Bolfarine   +2 more
doaj   +1 more source

On decompositions of estimators under a general linear model with partial parameter restrictions

Open Mathematics, 2017
A general linear model can be given in certain multiple partitioned forms, and there exist submodels associated with the given full model. In this situation, we can make statistical inferences from the full model and submodels, respectively.
Jiang Bo, Tian Yongge, Zhang Xuan
doaj   +1 more source

Maximum likelihood estimator of the volatility of forward rates driven by geometric spatial AR sheet

Journal of Applied Mathematics, Volume 2004, Issue 4, Page 293-309, 2004., 2004
Discrete‐time forward interest rate curve models are studied, where the curves are driven by a random field. Under the assumption of no‐arbitrage, the maximum likelihood estimator of the volatility parameter is given and its asymptotic behaviour is studied. First, the so‐called martingale models are examined, but we will also deal with the general case,
József Gáll, Gyula Pap, Martien C. A. van Zuijlen   +2 more
wiley   +1 more source

A note on Hammersley′s inequality for estimating the normal integer mean

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 34, Page 2147-2156, 2003., 2003
Let X1, X2, …, Xn be a random sample from a normal N(θ, σ2) distribution with an unknown mean θ = 0, ±1, ±2, …. Hammersley (1950) proposed the maximum likelihood estimator (MLE) d=[X¯n], nearest integer to the sample mean, as an unbiased estimator of θ and extended the Cramér‐Rao inequality.
Rasul A. Khan
wiley   +1 more source

On hypergeometric generalized negative binomial distribution

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 727-736, 2002., 2002
It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three‐term recurrence relation for computing probabilities from the considered distribution is given.
M. E. Ghitany, S. A. Al-Awadhi, S. L. Kalla   +2 more
wiley   +1 more source

A note on the estimation of the Poisson parameter

International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 193-196, 1985., 1985
This paper considers the problem of estimating the mean of a Poisson distribution when there are errors in observing the zeros and ones and obtains both the maximum likelihood and moments estimates of the Poisson mean and the error probabilities. It is interesting to note that either method fails to give unique estimates of these parameters unless the ...
S. S. Chitgopekar
wiley   +1 more source

Estimation of the intercept parameter for linear regression model with uncertain non-sample prior information [PDF]

, 2005
Regression model, uncertain non-sample prior information, maximum likelihood, restricted, preliminary test and shrinkage estimators, bias, mean square error and relative efficiency, Primary 62F30, Secondary 62H12 and 62F10,
Saleh, A. K. Md. E., Hoque, Zahirul, Zahirul Hoque, A. Saleh, Shahjahan Khan, Khan, Shahjahan   +5 more
core   +1 more source

Statistical inference and data analysis of the record-based transmuted Burr X model

Open Mathematics
Probability distribution has proven its usefulness in almost every discipline of human endeavors. A novel extension of Bur X distribution is developed in this study employing the record-based transmuted mapping technique, which can be used to fit skewed ...
Alrweili Hleil
doaj   +1 more source

Empirical Bayes and Bootstrap Inference for Multicomponent Stress–Strength Reliability Under Ordered Ranked Set Sampling

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper develops a unified inferential framework for multicomponent stress–strength reliability when the number of active components is stochastic rather than fixed. The system size is modeled by a left‐truncated binomial distribution, while strength and stress information are collected through two complementary designs: ordered ranked set sampling ...
Haidy A. Newer, Bader S. Alanazi, Smritijit Sen   +2 more
wiley   +1 more source