Let X and Y be independent, identically distributed random variables (i.i.d.r.v.). We denote their distribution function (d.f.) and the corresponding characteristic function (c.f.) by F and f, respectively. The aim of the present paper is to estimate E/X-Y/ r if r > 0 is an ...
Precise large deviations for the difference of two sums of random variables. Accepted.Lu D W, Song L X, Wang X H. Precise large deviation for the difference of two sums of random variables[J]. Communications in Statistics——Theory and Methods, 2016, 45(2): 291-306....
A chi-squared distribution cannot have zero degrees of freedom, so what would bethedistribution ofX−YX−Y? Supose that we have two random variablesX∼χ2kX∼χk2andY∼χ2kY∼χk2, with the same degrees of freedom. A chi-squared distribution cannot have zero degrees of freedom, s...
The Difference of Two Independent Exponential Random Variables iTunes This course is an introduction to probabilistic modeling, including random processes and the basic elements of statistical inference.
This is the result of a few factors: The P/C industry is extremely competitive in Canada (insurers are always trying to find new ways to be more profitable and gain market share). P/C work deals with two random variables instead of just one on the SOA side. Pricing in P/C is based...
I am not able to understand the difference between the joint density function and density function for a random variable Z=X1+X2Z=X1+X2, where X1,X2X1,X2 are uniform rvsrandom variables in [0,1][0,1]. I think joint density in this case is fX1,X2(x1,x2)=1fX1,X2(x1,x2)=...
When working with ratio variables, but not interval variables, the ratio of two measurements has a meaningful interpretation. For example, because weight is a ratio variable, a weight of 4 grams is twice as heavy as a weight of 2 grams. However, a temperature of 10 degrees C should not ...
observed values of two independent binomial random variables, X 1 ~ B(n 1 , p 1 ) and X 2 ~ B(n 2 , p 2 ). If a hypothesis test of H 0 : p 1 =p 2 vs. a one or two-sided alternative is all that is required, approximate and exact methods are ...
The effect δd is the difference of the two differences between the treatment and control groups. The first difference (y¯atd−y¯btd) captures the difference in mean BMI before and after the implementation of the policy in the treatment group, while the second difference (y¯atn−y...
When it comes to experiments and data analysis, there are two main types of variables:dependent variablesandindependent variables. It’s easy to get these mixed up, but the difference between dependent and independent variables is simple. Here is a quick and easy definition of each one, along ...