Probability distribution

speed of the mean reversion. θ is the mean value of the variance. σ is the volatility of the variance. These three are positive constants. Ws(t) and Wv(t) are Brownian motion variables, and ρ is the correlation coefficient between them. In some probability measure, we assume dWs(t) * dWv(t) = ρdt. For computational convenient, it is general to employee logarithm to transform the asset price process S(t) into X(t) = Log (S(t)), and apply Itô’s Lemma(3) to equations (1). (3) We can get following…

The Haybaler Problem In The Haybaler Problem we were trying to see how much each bale of hay weighed, and if there is more than one answer. There were 5 bales of hay in total, and when put together they would equal 80, 82, 83, 84, 85, 86, 87, 88, 90, and 91. So I decided to start doing guess and check like this: A+B=80 and then substituting numbers like 39+41=80. I did it like this because I needed to come up with at least one number to start off. I tried different numbers like 39, 38, 40, and…

Attribute selection is the process of identifying and removing as much of the irrelevant and redundant information as possible from a dataset. If the data dimensions are reduced, we will be able to improve the performance of the applied classification algorithms. They will function faster, more efficiently and will be with an improved classification accuracy. As an addition we can also execute data visualization, and increase the insight of the potential classification model [] . There are many…

I am M. Patricia Cifuentes, a postdoctoral researcher at Ohio State University, appointed by the College of Public Health and Biomedical Informatics. I am an MD specialized in statistics with a doctoral degree on Public Health. I contact you to share some research ideas I propose in the context of my application to the Yerby postdoctoral fellowship program for which I suggested you as faculty mentors. The proposal I presented consists on developing theory-based and data-driven models of health…

product. Hence, the first partial product is 110111100. All of the partial products will have nine bits length. Next, the second partial product is determined by next three bits i.e. multiply by 2. Multiply by 2 means the multiplicand value has to shift left one bit. So, the second partial product is 001000100. Similarly the third partial product has to multiply by 1. So, the third partial product is the multiplicand value namely 000100010. The fourth partial product is determined by next three…

The popular Monty Hall Problem is about being on a game show where you’re either going to win a fancy sports car or a goat. It’s a no brainer on which one you would prefer: the car. You have to choose between three doors. Behind two of the doors are goats and the fancy car is the last one. Whichever door you choose, the prize behind it is yours. The sample space is one thing to consider in this problem. There is a winning door and the two remaining doors are x and y and have goats behind them…

------------------------------------------------- A life insurance company wants to estimate their annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. What proportion of the plan recipients would receive payments beyond age 74? Round your result to four significant places after the decimal…

DEEC Protocol DEEC [32-35] is another enhancement of LEACH for multi-level heterogeneous environment with respect to level of energies in WSNs. In SEP, energy distribution for two levels, advance nodes and normal nodes, whereas, DEEC introduces multi-level heterogeneity for maximizing K. The nodes having greater residual energy have more right to become a CH. Therefore, CH formation in DEEC is based on residual energy…

uncertain. According to JCGM 200, measurement uncertainty is defined as follows: " non-negative parameter characterizing the dispersion of the quantity values being attributed to a measurand, based on the information used, according to the probability distribution function" [3]. No measurement result is quite accurate and reliable, unless it is reported with uncertainty [4, 5]. Because of uncertainty in measurement, there is always the risk of mistaken decisions about that whether it is…

= 3.16+2(.319)=3.80 3.16 < µ < 3.80 Problem 5.31 The figure provided in problem 5.31, shows the probability density of colony diameters (in mm) in a hypothetical population of Paenibacillus bacteria (Whitlock and Schluter, 2015, pg 146). In the examples, a single colony is randomly sampled form the population. Since the probability is a bell-shape, the hypothetical population is a normal distribution. (Figure re-created using Microsoft Word shapes and…