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Volume 1, Issue 2

A Shared Parameter Model for Longitudinal Data with Missing Values
Original Research
Longitudinal studies represent one of the principal research strategies employed in medical and social research. These studies are the most appropriate for studying individual change over time. The prematurely withdrawal of some subjects from the study (dropout) is termed nonrandom when the probability of missingness depends on the missing value. Nonrandom dropout is common phenomenon associated with longitudinal data and it complicates statistical inference. The shared parameter model is used to fit longitudinal data in the presence of nonrandom dropout. The stochastic EM algorithm is developed to obtain the model parameter estimates. Also, parameter estimates of the dropout model have been obtained. Standard errors of estimates have been calculated using the developed Monte Carlo method. The proposed approach performance is evaluated through a simulation study. Also, the proposed approach is applied to a real data set.
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American Journal of Applied Mathematics and Statistics. 2013, 1(2), 30-35. DOI: 10.12691/ajams-1-2-3
Pub. Date: May 03, 2013
25336 Views8651 Downloads35 Likes
Generalised Common Fixed Point Theorems of A-Compatible and S-Compatible Mappings
Original Research
In this paper we prove a common fixed point theorem of four self mappings satisfying a generalized inequality using the concept of A-compatible and S-compatible mappings. Our result generalizes many earlier related results in the literature.
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American Journal of Applied Mathematics and Statistics. 2013, 1(2), 27-29. DOI: 10.12691/ajams-1-2-2
Pub. Date: April 22, 2013
14824 Views4849 Downloads33 Likes
Pursuit and Evasion Game under Uncertainty
Original Research
This paper examined a class of multidimensional differential games. In particular, it considered a situation in which the pursuer and evader are affected by uncertain disturbances. A necessary and sufficient condition for the existence of saddle point for this class of games was developed.
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American Journal of Applied Mathematics and Statistics. 2013, 1(2), 21-26. DOI: 10.12691/ajams-1-2-1
Pub. Date: April 22, 2013
14717 Views4830 Downloads33 Likes