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Change point problems: Problems with chronologically ordered data collected over the period during which there is known to have been a change in the underlying data generation course. Interest then lies in, retrospectively, making the inferences about the time period or position in the sequence in which the change occurred. A well known example is the Lindisfarne scribes data in which a count is made of the occurrences of the certain type of pronoun ending observed in 13 chronologically order edmedievalmanu scripts thought to be the work of more than one author. A plot of data shows strong evidence of a change point in the below drawn figure. An easy example of the possible model for such a problem is as follows Interest would centre on estimating parameters in the model specifically the change point, τ
We are installing a router for our network. We believe that the time between the arrival of packets will be exponentially distributed with parameter R = 2 packets/second, and th
Healthy worker effect : The occurrence whereby employed individuals tend to have lower mortality rates than those who are unemployed. The effect, which can pose the serious problem
Censored observations : An observation xi on some variable of interest is consired to be censored if it is known that xi Li (left-censored)or xi Ui (right-censored) where Li and Ui
A test for equality of the variances of the two populations having normal distributions, based on the ratio of the variances of the sample of observations taken from each. Most fre
This is extension of the EM algorithm which typically converges more slowly than EM in terms of the iterations but can be much faster in the whole computer time. The general idea o
Clinical vs. statistical significance : The distinction among results in terms of their possible clinical importance rather than simply in terms of their statistical importance. Wi
properties of chebyshevs lemma
An investor with a stock portfolio sued his broker, claiming that a lack of diversification in his portfolio had led to poor performance. The data, shown below, are the rates of re
Longitudinal data : The data arising when each of the number of subjects or patients give rise to the vector of measurements representing same variable observed at the number of di
Collapsing categories : A procedure generally applied to contingency tables in which the two or more row or column categories are combined, in number of cases so as to yield the re
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