Papers by Jose Maria Samaniego
La teoría de la probabilidad es bastante amplia y rica en ejemplos. Dentro de las matemáticas pod... more La teoría de la probabilidad es bastante amplia y rica en ejemplos. Dentro de las matemáticas podemos encontrar los Procesos Estocásticos, en los cuales basaremos este trabajo recepcional, para ello comenzaremos analizando los conceptos básicos de la teoría de probabilidad. Existen diferentes fenómenos que observamos a lo largo de nuestras vidas, cuando no podemos determinar a ciencia cierta el resultado de dicho fenómeno, decimos que es un fenómeno aleatorio .
If we know the probability that the child of a lower-class parent becomes middle-class or upper-c... more If we know the probability that the child of a lower-class parent becomes middle-class or upper-class, and we know similar information for the child of a middle-class or upper-class parent, what is the probability that the grandchild or great-grandchild of a lower-class parent is middle-or upper-class? Using Markov chains, we will learn the answers to such questions. A stochastic process is a mathematical model that evolves over time in a probabilistic manner. In this section we study a special kind of stochastic process, called a Markov chain, where the outcome of an experiment depends only on the outcome of the previous experiment. In other words, the next state of the system depends only on the present state, not on preceding states. Applications of Markov chains in medicine are quite common and have become a standard tool of medical decision making. Markov chains are named after the Russian mathematician A. A. Markov (1856 – 1922), who started the theory of stochastic processes.
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Papers by Jose Maria Samaniego