Markov Skeleton Process Applications

This text mainly applies the process theories of the Markov skeleton process to study the growth model of the individual amount of single cow herd of cattle and family receipt and expenditure model.For the growth model of the individual amount of single cow herd of cattle, compared with the work made in the past each parameter in this studied model is all obedience to the general distribution. While what the past study is mainly to analyse the increase model of single herd kinds to increase draw up the data to match, so as to build one thus the differential calculus model square distance set, perhaps a rank, two ranks partial to the differential calculus square distance set. By solving the differential calculus square distance set, the growth regulation of single herd is studied, and the Malthus model and the growth model of the Logistic of resistance are built up.For family receipt and expenditure model, the model studied is this text's an expansion of a random environment fuiid model a random environment fluid is an expansion of the model, but the past studies made few researches on family receipt and expenditure model. The text explores the moment distribution of family bank account in the family receipt and expenditure model. At the same time, the family receipt and expenditure model is improved to meet the actual situation. As for above two kinds of models, this text depends on what Hou.Zhenting, Zou.Jiezhong, Liu.Zaiming professor etc. Put forward for the first time in 1997 and the perfect Markov skeleton process theories which was improved in 2005 to study the moment distribution under some condition in the model.The results of the study mainly include:First, in terms of Markov skeleton process method, it lists the square distance set that number{L(t),θ{t),θ₁(t),θ₂ (t),…,θ_L(t)(t),θ(t)} satisfy when ina moment distribute in the growth model to the single herd, and to prove that all rate's distributing is a some least of one square distance to take a solution.Second, in terms of Markov skeleton process backward theories and the theory that framework cycle time row pursue a framework process theories of decision the current bank account in the model to the family receipt and expenditure to distribute the existence process of understanding to in a moment in the funds amount, and prove it's all rate's distributing is a some least of one square distance to take a solution.