Download Math 549, Applied Sampling Fall 2008 Prerequisite knowledge Mathematical notation:

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Math 549, Applied Sampling
Fall 2008
Prerequisite knowledge
Mathematical notation:
• Subscripts: y1 , y2 , . . . , yn
• Summation notation: evaluate the following when n = 4, y1 = 2, y2 = 4, y3 = 1, y4 = 6,
and c = 4:
n
X
yi ,
i=1
n
X
3
X
(yj − c)2 ,
j=1
(3yk + 4),
k=1
n
X
2µ
i=1
Formulas:
• Mean, variance, and standard deviation of a set of numbers
Random variables:
• Definition of a random variable
• Distribution of a random variable
• Expected value, variance, and standard deviation of a random variable
• Independent random variables
• Expected value and variance of sums of independent random variables
• Expected value and variance of linear combinations of independent random variables
1
• t distribution, normal distribution
• quantile of a distribution
Terminology:
• Population
• Sample
• Parameter
• Statistic
• Estimate
• Estimator
• Sampling distribution of an estimator
• Confidence interval
• Margin of error
2
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