Time series, Advanced Statistics

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stationary time series

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Define hazard function, Hazard function : The risk which an individual expe...

Hazard function : The risk which an individual experiences an event in a small time interval, given that the individual has survived up to the starting of the interval. It is th

Best subsets regression, In the time series plot and scatter graphs there w...

In the time series plot and scatter graphs there were many outliers that were clearly visible. These have been removed to identify if they were influential or had high leverage and

Minimum volume ellipsoid, Minimum volume ellipsoid is a term for ellipsoid...

Minimum volume ellipsoid is a term for ellipsoid of the minimum volume which covers some specified proportion of the set of multivariate data. It is commonly used to construct rob

The breusch-pagan test, The Null Hypothesis - H0:  There is no heteroscedas...

The Null Hypothesis - H0:  There is no heteroscedasticity i.e. β 1 = 0 The Alternative Hypothesis - H1:  There is heteroscedasticity i.e. β 1 0 Reject H0 if Q = ESS/2 >

Cross over design, The type of longitudinal study in which the subjects rec...

The type of longitudinal study in which the subjects receive different treatments on the various occasions. Random allocation is required to determine the order in which the treatm

Queuing theory, 1) Let N1(t) and N2(t) be independent Poisson processes wit...

1) Let N1(t) and N2(t) be independent Poisson processes with rates, ?1 and ?2, respectively. Let N (t) = N1(t) + N2(t). a) What is the distribution of the time till the next epoch

Finite mixture distribution, The probability distribution which is a linear...

The probability distribution which is a linear function of the number of component probability distributions. This type of distributions is used to model the populations thought to

Regression diagnostics, Regression diagnostics is the process designed to...

Regression diagnostics is the process designed to investigate the suppositions underlying particular forms of regression examination, for instance, homogeneity of variance, norma

Student, the problem that demonstrates inference from two dependent samples...

the problem that demonstrates inference from two dependent samples uses hypothetical data from TB vaccinations and the number of new cases before and after vaccinations for cases o

Classification matrix, Classification matrix: A term many times used in di...

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