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101.
The present paper investigates the efficiency of the dual ratio estimator under the super population model with uncorrelated errors and a gamma-distributed auxiliary variabble. It is found that the dual ratio estimator is more efficient than the product estimator when the auxiliary variable has a gamma distribution with parameter greater than or equal to one, in the case when the regression is through the origin or when the product of intercept and slope is positive. 相似文献
102.
Ramesh C. Gupta 《统计学通讯:理论与方法》2013,42(10):977-991
In this paper we study the minimum variance unbiased estimation in the modified power series distribution introduced by the author (1974a). Necessary and sufficient conditions for the existence of minimum variance unbiased estimate (MVUE) of the parameter based on sufficient statistics are obtained. These results are, then, applied to obtain MVUE of θr (r ≥ 1) for the generalized negative binomial and the decapitated generalized negative binomial distributions (Jain and Consul, 1971). Similar estimates are obtained for the generalized Poisson (Consul and Jain, 1973a) and the generalized logarithmic series distributions (Jain and Gupta, 1973). Several of the well-known results follow trivially from the results obtained here. 相似文献
103.
B.C. Gupta 《统计学通讯:理论与方法》2013,42(9):3137-3144
In this paper, we give a lower bound for the number of treatments required for a plan to be a main effect plus one plan for 2m (m = 6) factorial experiments, The lower bound problem is important in the event of generating new designs with similar properties or when one wants to study the criteria of optimality for such designs. 相似文献
104.
In this paper the moments of the likelihood ratio statistic for testing the structure of mean vector of a compound symmetric Gaussian model, have been derived by using the orthogonal transformation of variables. Then the distribution of the test statistic is studied. 相似文献
105.
In this paper we have considered the problem of finding admissible estimates for a fairly general class of parametric functions in the so called “non-regular” type of densities Following Karlin s (1958) technique, we have established the ad-missibility of generalized Bayes estimates and Pitman estimates. Some examples are discussed. 相似文献
106.
Modelling age-specific fertility rates is of great importance in demography because of their influence on population growth. Although we have a variety of fertility models in the demographic literature, most of them do not have any demographic interpretation for their parameters. It is generally expected that models with behavioural interpretation are more universal than those without any interpretation. Even though the famous Gompertz model has some behavioural interpretation it suffers from other drawbacks. In the present work, we propose a new fertility model, which has its genesis in the generalization of logistic law. The proposed model has good behavioural interpretation, alongside having nice parameter interpretations. 相似文献
107.
In this study we investigated whether the following factors influenced married partners' reactions to spousal support: type of support (directive vs. nondirective); individual differences (gender, depressive symptoms); and dimension along which support was evaluated (level of helpfulness vs. valence of emotional impact). Nondirective support was consistently rated more favorably on the dimension of partner's impact than on the dimension of partner's helpfulness, and this effect was exaggerated for those self-reporting a high level of depressive symptoms. Nonetheless, directive support was provided more frequently than was nondirective support in this sample. Gender differences and complications introduced by partner dysphoria suggest some situations in which directive support may be particularly difficult to provide effectively. Implications for couple therapy are discussed. 相似文献
108.
In this paper, the testing and estimation of a single change point in means and variances of a sequence of independent Gaussian
normal random variables are studied. The Schwarz Information Criterion, SIC, is used to search for the change point. The unbiased
version of the SIC for this change point problem is also derived for the finite sample case. Other properties of the SIC test
statistic are given as well. Finally, two examples are given at the end of this paper to illustrate the method proposed, and
changes are successfully detected. 相似文献
109.
This article advocates the problem of estimating the population variance of the study variable using information on certain known parameters of an auxiliary variable. A class of estimators for population variance using information on an auxiliary variable has been defined. In addition to many estimators, usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999), and Kadilar and Cingi's (2006) estimators are shown as members of the proposed class of estimators. Asymptotic expressions for bias and mean square error of the proposed class of estimators have been obtained. An empirical study has been carried out to judge the performance of the various estimators of population variance generated from the proposed class of estimators over usual unbiased estimator, Isaki's (1983), Upadhyaya and Singh's (1999) and Kadilar and Cingi's (2006) estimators. 相似文献
110.
A model of advertising effects has been developed based on a distinction between “persuasion” advertising and “trigger” advertising. The former is designed to induce prospective purchasers to try the product and to establish a “product image”. The latter is aimed at “triggering” a purchase on the part of an individual whose image of the product has already been formed. The distinction has major implications for the type and timing of advertising. The model can be applied to determining an optimum distribution of advertising effort in the introduction of a new product, and the optimum advertising media mix. 相似文献