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261.
Modified inference about the mean of the exponential distribution using moving extreme ranked set sampling 总被引:1,自引:1,他引:0
The maximum likelihood estimator (MLE) and the likelihood ratio test (LRT) will be considered for making inference about the
scale parameter of the exponential distribution in case of moving extreme ranked set sampling (MERSS). The MLE and LRT can
not be written in closed form. Therefore, a modification of the MLE using the technique suggested by Maharota and Nanda (Biometrika
61:601–606, 1974) will be considered and this modified estimator will be used to modify the LRT to get a test in closed form
for testing a simple hypothesis against one sided alternatives. The same idea will be used to modify the most powerful test
(MPT) for testing a simple hypothesis versus a simple hypothesis to get a test in closed form for testing a simple hypothesis
against one sided alternatives. Then it appears that the modified estimator is a good competitor of the MLE and the modified
tests are good competitors of the LRT using MERSS and simple random sampling (SRS). 相似文献
262.
In this paper, we study the MDPDE (minimizing a density power divergence estimator), proposed by Basu et al. (Biometrika 85:549–559,
1998), for mixing distributions whose component densities are members of some known parametric family. As with the ordinary
MDPDE, we also consider a penalized version of the estimator, and show that they are consistent in the sense of weak convergence.
A simulation result is provided to illustrate the robustness. Finally, we apply the penalized method to analyzing the red
blood cell SLC data presented in Roeder (J Am Stat Assoc 89:487–495, 1994).
This research was supported (in part) by KOSEF through Statistical Research Center for Complex Systems at Seoul National University. 相似文献
263.
Several models for studies related to tensile strength of materials are proposed in the literature where the size or length
component has been taken to be an important factor for studying the specimens’ failure behaviour. An important model, developed
on the basis of cumulative damage approach, is the three-parameter extension of the Birnbaum–Saunders fatigue model that incorporates
size of the specimen as an additional variable. This model is a strong competitor of the commonly used Weibull model and stands
better than the traditional models, which do not incorporate the size effect. The paper considers two such cumulative damage
models, checks their compatibility with a real dataset, compares them with some of the recent toolkits, and finally recommends
a model, which appears an appropriate one. Throughout the study is Bayesian based on Markov chain Monte Carlo simulation. 相似文献
264.
Edwin M. M. Ortega Fernanda B. Rizzato Clarice G. B. Demétrio 《Statistical Methods and Applications》2009,18(3):305-331
In a sample of censored survival times, the presence of an immune proportion of individuals who are not subject to death,
failure or relapse, may be indicated by a relatively high number of individuals with large censored survival times. In this
paper the generalized log-gamma model is modified for the possibility that long-term survivors may be present in the data.
The model attempts to separately estimate the effects of covariates on the surviving fraction, that is, the proportion of
the population for which the event never occurs. The logistic function is used for the regression model of the surviving fraction.
Inference for the model parameters is considered via maximum likelihood. Some influence methods, such as the local influence
and total local influence of an individual are derived, analyzed and discussed. Finally, a data set from the medical area
is analyzed under the log-gamma generalized mixture model. A residual analysis is performed in order to select an appropriate
model.
The authors would like to thank the editor and referees for their helpful comments. This work was supported by CNPq, Brazil. 相似文献
265.
Brian Opeskin 《Journal of Population Research》2009,26(2):175-199
Most Pacific Island countries are located in the tropics, where there is an abundance of mosquitoes with the potential to
carry debilitating or life-threatening vector-borne diseases. This article examines three Melanesian countries in which malaria
is endemic—Papua New Guinea, Solomon Islands and Vanuatu—but the threat posed by the spread of malaria gives the issues a
broader significance to the Pacific region. After discussing the spatial distribution and prevalence of malaria in the Pacific,
the article examines a number of health interventions through which people have sought to control malaria. Although the disease
was nearly eradicated in the Pacific in the 1970s, it is no longer in retreat. The article concludes by examining why there
are still grounds for cautious optimism, and the challenges that Pacific Island countries face in reducing the impact of malaria
on their populations. There is a need for prompt and concerted action on malaria at the national, regional and international
levels if the public health concerns arising from the disease are to be adequately addressed. 相似文献
266.
Fabrizio Leisen Luca Rossini Cristiano Villa 《Journal of Statistical Computation and Simulation》2017,87(6):1179-1188
The Yule–Simon distribution has been out of the radar of the Bayesian community, so far. In this note, we propose an explicit Gibbs sampling scheme when a Gamma prior is chosen for the shape parameter. The performance of the algorithm is illustrated with simulation studies, including count data regression, and a real data application to text analysis. We compare our proposal to the frequentist counterparts showing better performance of our algorithm when a small sample size is considered. 相似文献
267.
M. Hermanns 《Journal of Statistical Computation and Simulation》2017,87(3):607-630
Point and interval estimators for the scale parameter of the component lifetime distribution of a k-component parallel system are obtained when the component lifetimes are assumed to be independently and identically exponentially distributed. We prove that the maximum likelihood estimator of the scale parameter based on progressively Type-II censored system lifetimes is unique and can be obtained by a fixed-point iteration procedure. In particular, we illustrate that the Newton–Raphson method does not converge for any initial value. Furthermore, exact confidence intervals are constructed by a transformation using normalized spacings and other component lifetime distributions including Weibull distribution are discussed. 相似文献
268.
In multiple hypothesis test, an important problem is estimating the proportion of true null hypotheses. Existing methods are mainly based on the p-values of the single tests. In this paper, we propose two new estimations for this proportion. One is a natural extension of the commonly used methods based on p-values and the other is based on a mixed distribution. Simulations show that the first method is comparable with existing methods and performs better under some cases. And the method based on a mixed distribution can get accurate estimators even if the variance of data is large or the difference between the null hypothesis and alternative hypothesis is very small. 相似文献
269.
M. Pear Hossain M. Hafidz Omar Muhammad Riaz 《Journal of Statistical Computation and Simulation》2017,87(3):594-606
Control charts have been popularly used as a user-friendly yet technically sophisticated tool to monitor whether a process is in statistical control or not. These charts are basically constructed under the normality assumption. But in many practical situations in real life this normality assumption may be violated. One such non-normal situation is to monitor the process variability from a skewed parent distribution where we propose the use of a Maxwell control chart. We introduce a pivotal quantity for the scale parameter of the Maxwell distribution which follows a gamma distribution. Probability limits and L-sigma limits are studied along with performance measure based on average run length and power curve. To avoid the complexity of future calculations for practitioners, factors for constructing control chart for monitoring the Maxwell parameter are given for different sample sizes and for different false alarm rate. We also provide simulated data to illustrate the Maxwell control chart. Finally, a real life example has been given to show the importance of such a control chart. 相似文献
270.
The well-known Wilson and Agresti–Coull confidence intervals for a binomial proportion p are centered around a Bayesian estimator. Using this as a starting point, similarities between frequentist confidence intervals for proportions and Bayesian credible intervals based on low-informative priors are studied using asymptotic expansions. A Bayesian motivation for a large class of frequentist confidence intervals is provided. It is shown that the likelihood ratio interval for p approximates a Bayesian credible interval based on Kerman’s neutral noninformative conjugate prior up to O(n? 1) in the confidence bounds. For the significance level α ? 0.317, the Bayesian interval based on the Jeffreys’ prior is then shown to be a compromise between the likelihood ratio and Wilson intervals. Supplementary materials for this article are available online. 相似文献