In this study, the residuals in time series analysis, which were classified in four different classes as ”conditional residuals”, ”unconditional residuals”, ”innovation” and ”normalized residuals”, are calculated by a simulation study for the ARMA model under certain parameter values for different numbers of observation and their conditions in diagnostic checking are examined using the test sta...

Christensen and Lin (2014), henceforth C-L, suggested two lack-of-fit tests to assess the adequacy of a linear model based on partial sums of residuals. In particular, their tests evaluated the adequacy of the mean function. Their tests relied on asymptotic results without requiring small sample normality. We extend this research by proposing additional tests based on partial sums of residuals....

Many investigators have found that the vitamin B complex is of major importance for the growth of lactic acid bacteria. Although the nutritional requirements of lactobacilli and streptococci have been given prominence, considerable work has also been done on the other members of this group of organisms. For example, Leuconostoc mesenteroides was shown to require pantothenic acid by Snell, Stron...

The coenzyme function of pyridoxal-phosphate in cysteine desulfhydration and in the mechanistically similar serine and threonine dehydration (deamination) processes has been a subject of discussion in a number of recent publications (see, for example, Snell, 1952, and Braunstein and Shemyakin, 1953). A chemical model reaction has been proposed (Metzler and Snell, 1952). Evidence for pyridoxal-p...

Schlenk, F. and Snell, E. E. (1945). J . bh2. Chem. 157, 425. Scott, M. L., Nonis, L. C., Heuser, G. F. and Bruce, W. F. (1945). J . b i d . C h . 158, 291. Scott, M. L., Norris, L. C., Heuser, G. F., Bruce, W. F., Coover, H. W., Bellamy, W. D. and Gunsalus, I. C. (1944). J . b i d . Chem. 154, 713. Simmons, R. W. andNorris, E. R. (1941). Smith, F. R. (1943). J . B&. 46, 369. Snell, E. E. and R...

Fibroblasts from long-lived mutant mice are resistant to many forms of lethal injury as well as to the metabolic effects of rotenone and low-glucose medium. Here we evaluated fibroblasts from young adult naked mole-rats (NMR; Heterocephalus glaber), a rodent species in which maximal longevity exceeds 28 years. Compared to mouse cells, NMR cells were resistant to cadmium, methyl methanesulfonate...

In general, the distribution of residuals cannot be obtained explicitly. We give an asymptotic formula for the density of Pearson residuals in continuous generalized linear models corrected to order n−1, where n is the sample size. We define corrected Pearson residuals for these models that, to this order of approximation, have exactly the same distribution of the true Pearson residuals. Applic...

The behaviour of a scalar optical beam at the boundary between two dissimilar nonlinear media is of fundamental interest in nonlinear photonics. Here, we report the first systematic generalization of our Kerr analyses to a wider class of power-law materials. Universal refraction laws will be given, and theorysimulation agreement demonstrated.