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Univariate Normal Model

  • Jie Chen
  • Arjun K. Gupta
Chapter

Abstract

Let x1, x2,…, xn be a sequence of independent normal random variables with parameters (U 1, s2 1), (U2, s2 2),…, (Un, s2n), respectively. In this chapter, different types of change point problems with regard to the mean, variance, and mean and variance are discussed. For simplicity and illustration purposes, we familiarize readers with the three types of changes in the normal sequence by presenting the following three figures, where Figure 2.1 represents a sequence of normal observations with a mean change, Figure 2.2 shows a variance change in the normal observations, and Figure 2.3 indicates a mean and variance change in the sequence of normal observations.

Keywords

Change Point Iterate Logarithm Change Point Analysis Circular Binary Segmentation aCGH Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of Missouri-Kansas CityKansas CityUSA
  2. 2.Department of Mathematics and StatisticsBowling Green State UniversityBowling GreenUSA

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