Journal of Statistical Theory and Applications

Volume 12, Issue 2, July 2013
Research Article

1. The Kumaraswamy Pareto distribution

Marcelo Bourguignon, Rodrigo B. Silva, Luz M. Zea, Gauss M. Cordeiro
Pages: 129 - 144
The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Pareto distribution, is introduced and studied. The new distribution can have a decreasing and upside-down bathtub failure...
Research Article

2. Laws of the iterated logarithm for nonparametric sequential density estimators

Karima Lagha, Smail Adjabi
Pages: 145 - 151
In this note, we establish a law of iterated logarithm for a triangular array of a random number of independent random variables and apply it to obtain laws of iterated logarithm for the sequential nonparametric density estimators. We consider the case of Rosenblatt-Parzen kernel estimators and orthogonal...
Research Article

3. Kernel Inference on the Generalized Gamma Distribution Based on Generalized Order Statistics

M. Ahsanullah, M. Maswadah, Ali M. Seham
Pages: 152 - 172
The kernel approach has been applied using the adaptive kernel density estimation, to inference on the generalized gamma distribution parameters, based on the generalized order statistics (GOS). For measuring the performance of this approach comparing to the Asymptotic Maximum likelihood estimation,...
Research Article

4. On Approximating the Distribution of Quadratic Forms in Gamma Random Variables and Exponential Order Statistics

A. Akbar Mohsenipour, Serge B. Provost
Pages: 173 - 184
This paper proposes a moment-based approximation to the distribution of quadratic forms in gamma random variables. Quadratic forms in order statistics from an exponential population are considered as well. Actually,several test statistics can be expressed in terms of the latter. The density approximants...
Research Article

5. Testing the mean of an exponential distribution in the presence of outliers

Abbas Mahdavi
Pages: 185 - 190
In this study, we propose a simple robust test for the mean of an exponential distribution by using the simplified version of “Forward Search” (FS) method. The FS method is a powerful general method for identifying outliers and their effects on inferences about the hypothesized model. The simulation...
Research Article

6. Bayesian Test of Homogeneity in Transition Model for Longitudinal Ordinal Response Data with Missing Values

S. Noorian, M. Ganjali
Pages: 191 - 199
For analyzing longitudinal ordinal response data, many methods are available to take into account the correlations between responses of the same individual where different methods use different approaches. One of the methods to consider this correlation is the transition (Markov) model. In this paper,...
Research Article

7. A Measure of Inaccuracy in Order Statistics

Richa Thapliyal, H.C. Taneja
Pages: 200 - 207
In this article, we consider a measure of inaccuracy between distributions of the i-th order statistics and parent random variable. It is shown that the inaccuracy measure characterizes the distribution function of parent random variable uniquely. We also discuss some properties of the proposed measure.