If XX is a random variable and Y=g(X)Y=g(X), then YY itself is a random variable. Thus, we can talk about its PMF, CDF, and expected value. First, note that the range of YY can be written as RY={g(x)|x∈RX}.RY={g(x)|x∈RX}....
There are many situations where simple functions of random variables have well-known distributions. One example is the relation between a standard normal and a chi-square distribution. Distribution of a function of random variable(s) has many applications in statistical inference. The chapter ...
Theorem Function of a Discrete Random Variable. LetXXhave a discrete distribution with p.f.ffand letY=r(X)Y=r(X)for some function ofrrdefined on the set of possible values ofXXFor each possible value y ofYYthe p.f.ggofYYis g(y)=Pr(Y=y)=Pr[r(X)=y]=∑x;r(x)=yf(x)g(y)...
When is a discrete random variable, the probability mass function of can be computed as follows. Proposition (probability mass of a decreasing function) Let be a discrete random variable with support and probability mass function . Let be strictly decreasing on the support of . Then, the ...
A random variable is a rule that assigns a numeric value to every possible outcome in a sample space. Random variables may be discrete or continuous in nature. A random variable is discrete if it assumes only discrete values within a specified interval.
Consider the notion of a "square-law" detector: If x is an input to the detector, then y = x2 is its output or detected value. Consider next the case where x is a random variable with probability law ...Frieden, B. RoyThe University of Arizona...
Sometimes experiments do not directly measure the quantity of interest, but rather associated variables that can be related to the one of interest by an analytic function. It is therefore necessary to establish how we can infer properties of the interesting variable based on properties of the ...
Numeric. Returns a random value from a chi-square distribution with specified degrees of freedom df. RV.EXP. RV.EXP(scale). Numeric. Returns a random value from an exponential distribution with specified scale parameter. RV.F. RV.F(df1, df2). Numeric. Returns a random value from an F ...
The moment generating function or MGF is used to find moments for random variables. Due to its uniqueness property, it is used to find the probability distribution of a function of random variables. The probability generating function is used to find probabilities ...
网络随机变量函数 网络释义 1. 随机变量函数 谁有SPSS... ... 4.Statistical functions 统计函数 5.Random variable functions随机变量函数1.Logical functions 逻辑函数 ... zhidao.baidu.com|基于18个网页