Hair examinations and comparisons conducted by forensic scientists often provide investigative and associative information. Apart from its length and its natural color, hair displays a morphologic diversity both macroscopically and microscopically. Pseudogenization of

Variations in tooth eruption patterns are supposed to have multifactorial reasons and etiologic factors to explain variation in caries are unsatisfactory. Prevalence of caries is comparatively higher in the children of developing countries than that of the children of same age in developed countries. Indian studies on the dental caries mostly in children related to prevalence and treatment. However, nutritional effect on dental caries on Indian school going children is yet to be carried out in eastern India. This study investigated the prevalence of dental caries in permanent teeth and nutritional status among the 544 school going children (girls) of 6 -19 years age group of Bengalee ethnicity of West Bengal, India. Caries was recorded based on DMFT index following basic guidelines for Oral Health Surveys guideline (WHO). Nutritional status was obtained using BMI and classification of nutritional status was achieved using the standards of WHO and CDC growth charts include an age-and sex-specific BMI reference for children aged 2 -20 years. The overall prevalence of dental caries was 44.5% and mean DMFT was 0.45  1.57. Nutritional status demonstrated, about 30% and 6.69% of schools going girls were underweight and overweight respectively. Occurrence of dental caries was found in all permanent teeth among the girls of underweight and normal according to their BMI-for age status. Furthermore, a significant association (p < 0.05) with occurrence of dental caries among the underweight girls has been found compared to that of the overweight and normal. This study indicates a close relationship between nutritional status and dental caries in this region.

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Statistical quality control is used to improve performance of processes. Since most of the processes are multivariate in nature, multivariate process capability indices (MPCIs) have been developed by many researchers depending on the context. However, it is generally difficult to understand and calculate MPCIs, compared to their univariate counterparts like Cp, Cpk, and so on. This paper discusses a relatively new development in MPCIs, namely, CGfalse(u,vfalse), which is a multivariate analogue of Cpfalse(u,vfalse)—the celebrated superstructure of univariate process capability indices . Some statistical properties of CGfalse(u,vfalse) are studied, particularly of CGfalse(0,0false), a member MPCI of the superstructure, which measures potential capability of a multivariate process. A threshold value of CGfalse(0,0false) is computed, and this can be considered as a logical cut‐off for other member indices of CGfalse(u,vfalse) as well. The expression for the upper limit of the proportion of nonconformance is derived as a function of CGfalse(0,0false). Density plots of asymptotic distributions of four major member indices of CGfalse(u,vfalse), namely, CGfalse(0,0false), CGfalse(1,0false), CGfalse(0,1false), and CGfalse(1,1false), are made. Finally, a numerical example is discussed to supplement the theory developed in this paper.