Lecture 2:
Samples and Statistics
Sampling
Assume population described by an
underlying probability distribution
Samples are independent, random
outcomes from that distribution
If done correctly, there must be a
relationship between the samples and the

Lecture 7
Stationarity
Random Variables
Probability Spaces
.
Random Variables
Definition: A variable (such as porosity of rock)
whose outcome is uncertain is defined as
a random variable. Furthermore, the
outcomes of a random variable occur with
prescribe

Lecture - 5
Sampling Distributions - II
Sample Variance
For a sample size of n
Let X1, X2, ,Xn be the n RVs sampled.
Suppose we calculate the variance of the sample as:
( X1 X )2 + ( X 2 X )2 + . + ( X n X )2
S =
n
2
S2 is a RV. For unbiasedness, we would

Lecture 4
Sampling Theorems - I
.
An Important Concept
Random Variables
Definition:
A variable (such as porosity of rock) whose
outcome is uncertain is defined as a random
variable. Furthermore, the outcomes of a
random variable occur with prescribed
prob

Lecture - 6
Declustering Distributions
Constructing a cdf
The zi are the N available data. The data are first sorted
and the weights are assigned according to the frequency
of occurrence of each data.
Say the data are
Rank-ordered:
10
7
8
8
7
10
11
11
1

Lecture 1:
Probability and Statistics
Statistics
Statistics Definition (Conover, 1980):
The purpose of that field of science known as
statistics is to provide the means for
measuring the amount of subjectivity that goes
into conclusions based on experim

PNG497A
Introduction to Geostatistics
Homework # 2
Due: Tuesday, September 29th, 2015 by 5 pm
Question1
Consider the data in the Worksheet Problem 1 of the file HW2-Data.xls. The worksheet contains rainfall
data reco

PNG497A
Introduction to Geostatistics
Homework # 1
Due: Tuesday, September 15th, 2015 by 5 pm
Consider the data in the file HW1-Data.xls. The file contains porosity and permeability data recorded
along wells in a flu