Page 19 - Applied Statistics Using SPSS, STATISTICA, MATLAB and R

xxii Symbols and Abbreviations

N µ,σ normal distribution with mean µ and standard deviation σ
ε λ exponential density with spread factor λ
Ε λ exponential distribution with spread factor λ

w α,β Weibull density with parameters α, β
W α,β Weibull distribution with parameters α, β
γ a,p Gamma density with parameters a, p
Γ a,p Gamma distribution with parameters a, p

β p,q Beta density with parameters p, q
Β p,q Beta distribution with parameters p, q
2
χ df Chi-square density with df degrees of freedom

Χ 2 df Chi-square distribution with df degrees of freedom
Student’s t density with df degrees of freedom
t df
Student’s t distribution with df degrees of freedom
T df
f df 1 ,df 2 F density with df 1, df 2 degrees of freedom

F df 1 ,df 2 F distribution with df 1, df 2 degrees of freedom

Statistics
x ˆ estimate of x
Ε [] expected value (average, mean) of X
X
X
V [] variance of X
Ε[x | y] expected value of x given y (conditional expectation)

m central moment of order k
k
µ mean value
σ standard deviation

σ XY covariance of X and Y
ρ correlation coefficient

µ mean vector