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…
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…
Implementation of Bayesian Method for basic pattern Classification Abstract: This document describes an example of basic pattern classification using the Bayesian method. Based on given two dimensional (2-D) training data for two classes, we created a classifier using discriminant function (which is the logarithmic version of Bayes formula) and used it to classify provided test data. We estimated the necessary statistical parameters, such as mean covariance and prior probabilities, from…
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…
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…
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…
application data that the application, in the following two subsections. 4.Applying Dropout to Distance Metric In this section, we focus on applying dropout to the learned metric. Let M be metric learned from the precious iteration. To apply the dropout technique, we introduce a Bernoulli random matrix , where each is a Bernoulli random variable with , using the random matrix , we compute the dropped out distance metric denoted by as. Given by i=j, and we already known that M is a symmetric…
After 30 s, the search mission is commenced. The updated probability map is transmitted to the service vehicles every 5 s by the host computer. The final configuration of planar position and the trajectories of all service vehicles for different time steps, 40 s, 90 s, 180 s are shown in Figure 6-3.1-1-c. The distribution density function based on the most updated probability maps are also shown in the figures. The color intensity is proportional to the value of distribution density function at…
The lottery is played all around the world. More than two-thirds of the citizens of the state. Anny three digit number can be placed from 000 to 999. After than the randomly draw a number. A number is drawn at random and announced by the state. The winner gets a prize. The probability that the correct 3 digits in the right order is selected is at an odds of 1 in 1,000. So if If a ticket costs two dollars and the winner must pick a sequence of five digits then if There are 10^5=100,000 different…
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…