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Journal Cover International Journal of Advanced Mathematical Sciences
  [1 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2307-454X - ISSN (Online) 2307-454X
   Published by Science Publishing Corporation Homepage  [12 journals]
  • Parametric inference for stochastic differential equations with random
           effects in the drift coefficient

    • Authors: Alsukaini Mohammed Sari, Wang Xiang-Jun
      Pages: 21 - 29
      Abstract: In this paper we focus on estimating the parameters in the stochastic differential equations (SDE’s) with drift coefficients depending linearly on a random variables  and  .The distributions of the random effects  and  are depends on unknown parameters from the continuous observations of the independent processes . When  is an unknown parameter or restrict positive constant also studied in this paper. We propose the Gaussian distribution for the random effect  and the exponential distribution for the random effect    , we obtained an explicit formulas for the likelihood functions in each case and find the maximum likelihood estimators of the unknown parameters in the random effects and for the unknown parameter    . Consistency and asymptotic normality are studied just when  is normal random effect and  is constant.
      PubDate: 2016-07-31
      Issue No: Vol. 4, No. 2 (2016)
  • Nonidentical relations of skew-symmetric forms: Generation of closed
           exterior forms. Discrete transitions. Connection between field-theory
           equations and nonidentical relations

    • Authors: Ludmila Petrova
      Pages: 30 - 36
      Abstract: Nonidentical relations of skew-symmetric differential forms, which basis are non-integrable deforming manifolds follow from differential equations. From nonidentical relations closed exterior forms are obtained. The process of obtaining closed exterior forms describes the discrete transitions and the emergence of structures and observable formations such as waves, vertices, and turbulent pulsations. It is shown that the field theory equations (by Schroedinger, Maxwell, Einstein and others) turns to be nonidentical relations, obtained from the mathematical physics equations for material media such as the cosmologic systems, the systems of charged particles and others.   
      PubDate: 2016-10-08
      Issue No: Vol. 4, No. 2 (2016)
  • Common random fixed point theorems for contractions of rational type in
           ordered metric spaces

    • Authors: Sukh Raj Singh, R D daheriya, Manoj Ughade
      Pages: 37 - 43
      Abstract: In this paper, we prove some common random fixed point theorems for mappings involving rational expression in the framework of metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions.
      PubDate: 2016-10-14
      Issue No: Vol. 4, No. 2 (2016)
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
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