Published in Metrika
A sample selected from a single sampling frame may not represent adequatly the entire population. Multiple frame surveys are becoming increasingly used and popular among statistical agencies and private organizations, in particular in situations where several sampling frames may provide better coverage or can reduce sampling costs for estimating po...
Published in Metrika
For zero-truncated count data, as they typically arise in capture-recapture modelling, the nonparametric lower bound estimator of Chao is a frequently used estimator of population size. It is a simple, nonparametric estimator involving only counts of one and counts of two. The estimator is asymptotically unbiased if the count distribution is a memb...
Published in Metrika
This paper focuses on semi-functional partially linear regression model, where a scalar response variable with missing at random is explained by a sum of an unknown linear combination of the components of multivariate random variables and an unknown transformation of a functional random variable which takes its value in a semi-metric abstract space...
Published in Metrika
Distances on permutations are often convenient tools for analyzing and modeling rank data. They measure the closeness between two rankings and can be very useful and informative for revealing the main structure and features of the data. In this paper, some statistical properties of the Lee distance are studied. Asymptotic results for the random var...
Published in Metrika
For an unknown continuous distribution on the real line, we consider the approximate estimation by discretization. There are two methods for discretization. The first method is to divide the real line into several intervals before taking samples (“fixed interval method”). The second method is to divide the real line using the estimated percentiles ...
Published in Metrika
Negative binomial regression models have been widely used for analyzing overdispersed count data. However, when an important covariate is not included or individuals show some heterogeneity, negative binomial regression models may lead to erroneous standard errors or confidence intervals for the regression parameters. To test the existence of the h...
Published in Metrika
Relevation transform introduced by Krakowski (Rev Fr d’Autom Inf Rech opér Rech opér 7(V2):107–120, 1973) is extensively studied in the literature. In this paper, we study the reliability properties of a special case of relevation transform namely proportional hazards relevation transform. Various stochastic orders and ageing concepts are discussed...
Published in Metrika
An empirical likelihood ratio testing method is proposed, in this paper, for semi-functional partial linear regression models. Two empirical likelihood ratio statistics are employed to test the linear hypothesis of parametric components, then we demonstrate that their asymptotic null distributions are standard Chi-square distributions with the degr...
Published in Metrika
Linear mixed models have become popular in many statistical applications during recent years. However design issues for multi-response linear mixed models are rarely discussed. The main purpose of this paper is to investigate D-optimal designs for multi-response linear mixed models. We provide two equivalence theorems to characterize the optimal de...
Published in Metrika
Measure of uncertainty in past lifetime plays an important role in different areas such as information theory, reliability theory, survival analysis, economics, business, forensic science and other related fields. In this paper, we propose a cumulative Tsallis entropy in past lifetime based on quantile function. We obtain different characterization...
