The Joint Distribution of Serial Correlation Coefficients

Serial Correlation Coefficient

In this paper, we investigate the relation between two variables where the one is measured with the ratio or interval scale and the other with the nominal. In this cases, we use from serial correlation coefficient. Computation of some serial coefficient such as biserial and point-biserial coefficient is carried out with some examples and R program.

Distribution-Free Bounds for Serial Correlation Coefficients in Heteroskedastic Symmetric Time Series

We consider the problem of testing whether the observations X 1; . . . ;X n of a time series are independent with unspecified (possibly nonidentical) distributions symmetric about a common known median. Various bounds on the distributions of serial correlation coefficients are proposed: exponential bounds, Eaton-type bounds, Chebyshev bounds and Berry–Esséen– Zolotarev bounds. The bounds are ex...

The convergence of the empirical distribution of canonical correlation coefficients

Suppose that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent and identically distributed (i.i.d) real random variables with EX11 = 0 and EX 2 11 = 1, and that {Yjk, j = 1, · · · , p2; k = 1, · · · , n} are i.i.d real random variables with EY11 = 0 and EY 2 11 = 1, and that {Xjk, j = 1, · · · , p1; k = 1, · · · , n} are independent of {Yjk, j = 1, · · · , p2; k = 1, · · · , n}. This p...

The Correlation Coefficients

Change Point Estimation in High Yield Processes in the Presence of Serial Correlation

Change point estimation is as an effective method for identifying the time of a change in production and service processes. In most of the statistical quality control literature, it is usually assumed that the quality characteristic of interest is independently and identically distributed over time. It is obvious that this assumption could be easily violated in practice. In this paper, we use m...