Discrete probability distribution

THE CONCEPTS OF NEGATIVE BINOMIAL DISTRIBUTION AND ITS APPLICATIONS IN REAL LIFE. BY OWUSU BRIGHT. INTRODUCTION In centuries, human activities where outcomes are described either as success or failure, has been a concern in the history of probability and statistics. In the act of tossing a coin, throwing a die to obtain a 6, either a machine work or fails, a student passing an exam or not and so on are events whose end results are either a yes or no, good or bad, present or absent, success or failure, as well as a win or loss. Generally, the history of probability and statistics, describe these activities to follow a Bernoulli distribution of the discrete probability distributions where an experiment has only two possible outcomes with a…

Ajay Devgan says, “By getting into distribution and production, I have actually widened my base” (Distribution Quotes, 2016). Distributions are all around us in the fields of programming, medical, the sciences in many of today colleges. For me, distributions occurred in the aspect of programming, childhood and motherhood. As a single mother with a son, distribution appears in many activities, such as college and taking care of my child. As a student in Trine University, statistics class has many…

ISE SUMMER PROJECT 2015 Probability, randomness, and chance should be central in any STEM pedagogical model. The concepts of randomness and chance play a very significant role in the essence of all sciences, and especially in the empirical sciences. Randomness is a critical component of biological modeling at many levels in a wide range of systems. The fundamental axioms of the quantum paradigm in physics are, by definition, essentially stochastic. Economics uses the randomness in human thought…

as numeracy. Age. Older individuals don’t understand risk information as well, both overestimate and underestimate probabilities (Fuller, Dudley, & Blacktop, 2001), worse risk comprehension than younger individuals (Fausset & Rogers, 2012). Much of the literature supports the idea that decision making effectiveness…

In definition, probability refers to the measure of the likelihood of an event happening. The probability for any event occurring falls between 1 percent and 100 percent thus meaning that the interpreted meaning of a probability equals the subject meaning held of the probability (Grinstead et al, 1997). However, it is worth noting that the application of probability or assigning of probability to the events in the effort to gratifying the axioms of probability follows some rules or basics…

As we model this Markov process, we observe the state-dependent output, yet initially we are not able to note any of the states. Each state has a unique probability distribution over each possible output. Thus, information about the sequence of states through which the model makes its way can be obtained from the sequence of outputs generated, while the rest of the model remains hidden. The algorithm tracks a stochastic process through its states by using a recursive method that is optimal in…

uncertainty. When an “outcome is the result of adding the outcomes of many separate performances, all in certain respects uniform”; in other words, when the frequency-ratio is known, then the experiment is named divisible, while a non-divisible or non-seriable experiment is one which “can be neither itself broken down into a number of uniform additive parts nor treated as part of a divisible experiment” (p. 8). In a non-divisible experiment the frequency-ratio standpoint has no actual sense. One…

Probability concepts like faith, as it exists in the dim intuition, through school education, the surface of that understanding, intuition often conflicts that again with a different point of view, must be thinking more in-depth study to be able to understand. Hot Monty Hall problem, and that is one example. There is not a simple probability, long confused with so many people and academics, the more deeply ponder the problems found. Since 1990, 1991 flared up in hot to 2000, there are more…

the modelling technique selection stage. However, it is not as important as the other two sources after it was decided not to be used as the modelling method for the system model of this project. Bayesian networks are diagrams for uncertain interpretation in which the nodes denote factors which can either be discrete or continuous, X = X1,…

variable to evaluate the default probability of financial instruments. Specifically, copula function specify the joint distribution of the survival times after using the market information to derive the marginal distribution of the survival time. This approach solves the default correlation and the joint distribution of the pool asset to some extent, and it…