Volume 2, Issue 3 (2006) | Journal of Mathematics and Statistics

Behavior of the Dedekind's Function over First Order Theta Function According to Conditions Modular Form

Ismet Yıldız — 2006-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2006; doi:10.3844/jmssp.2006.401.406

The effect Dedekind's etha function on theta functions is analyzed according to the characteristics of theta functions under modular group conditions.

Stochastic Analysis of a Compound Redundant System Involving Human Failure

Ritu Gupta — 2006-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2006; doi:10.3844/jmssp.2006.407.413

This study deals with a compound standby redundant system consisting of three sub-systems A, B, and C connected in series. The sub-system B consists of one main unit and the other is its standby redun...

LQ-Moments: Application to the Log-Normal distribution

Ani Shabri — 2006-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2006; doi:10.3844/jmssp.2006.414.421

Mudolkar and Hutson (1998) extended L-moments to new moment like entitles called LQmoments (LQMOM). The LQMOM are constructed by using functional defining the quick estimators, where the parameters ...

On Bayes Estimation of the First Order Moving Average Model

Mahmoud M. Smadi — 2006-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2006; doi:10.3844/jmssp.2006.422.426

In this work, Bayes estimation of the first order moving average model (MA(1)) were studied. Theoretical justification of the Bayes estimates based on the estimated innovations is given. The convergen...

Passage to the Differences for the BDF's Methods

Abdelouahab Salmi — 2006-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2006; doi:10.3844/jmssp.2006.427.431

In this study, we give an improvement to the backward differentiation formula (BDF). We use a formula for the differences that permits us to determine the new coefficients αi^ and γi ^in function o...

Computing the Moments of Order Statistics from Independent Non - Identically Distributed Burr Type XII Random Variables

A. A. Jamjoom — 2007-09-30

Journal of Mathematics and Statistics, Published online: 30 September 2007; doi:10.3844/jmssp.2006.432.438

In this paper, we derive a recurrence relation for computing all single moments of all order statistics arising from independent but not identically distributed Burr type XII random variables.