Journal of Statistics and Mathematical Engineering (e-ISSN: 2581-7647)

Number of Level Crossings of a Random Trigonometric Polynomial

Prasana Kumar Mishra — 2015-06-20

The asymptotic estimates of the expected number of real zeros of the polynomial. gj (j=1, 2, n) is a sequence of independent normally distributed random variables is such a number. To achieve the result we first present a general formula for the covariance of the number of real zeros of any normal process, e (t), occurring in any two disjoint intervals. A formula for the variance of the number of real zeros of e (t) follows from this result.

Some Curvature Conditions on LP-Sasakian Manifolds Admitting a Quarter Symmetric Non-Metric Connection

J.P. Singh — 2015-12-24

In the present paper we study some curvature properties of quarter symmetric non-metric connection in an LP-Sasakian manifolds.

Concomitants of k-Record Values Arising from Mtbed and their Application in Parameter Estimation

S. S. Nayak — 2015-10-25

In this paper, we have obtained the marginal and joint distributions of concomitants of k-record values for the Morgenstern family of distributions (MFD) and hence obtained the moments and product moments of concomitants of k-record values. Applying these results we have derived the best linear unbiased estimators of some parameters involved in Morgenstern type bivariate exponential distribution which belongs to MFD based on concomitants of k-record values.

A Precedence Constraints in a Travelling Salesman Problem (TSP) with Multiple Job Facilities

Duttadeka S — 2015-09-12

In this paper, we have considered precedence constraints in the travelling salesman problem with multiple job facilities at each station. By precedence constraints one means that the station(s) (cities or links or nodes) are visited (or completed) in such a way that a particular station is to be preceded (completed or visited) by another station (precedence relation need not be immediate). The problem can be described as follows: There are ‘N’ stations to be visited and ‘M’ distinct jobs to be performed by a salesman. The distance between each pair of stations and facilities for jobs at each station, are known. The salesman starts from a station (home station denoted as ‘A0’) and returns back to it after completing all the jobs. The salesman need not visit all the stations and should not visit a station more than once. Also the salesman has to perform the jobs as early as possible. The objective is to find a tour of the salesman by using the precedence constraints such that the total distance traveled is minimum while completing all the ‘M’ jobs, on the basis of first come first serve.

Some Coupled Fixed Point Theorems in G-Metric Spaces Using Compatibility of Maps

Nawneet Hooda — 2015-01-27

In this manuscript we prove some common coupled fixed point theorems using the compatibility of maps in G-metric spaces. 2010 Mathematics Subject Classification. 54H25, 47H10.

Entropy Properties of k Record Values

S. S. Nayak — 2015-12-06

Record values can be viewed as order statistics from a sample whose size is determined by the values and the order of occurrence of observations. They are closely connected with the occurrence times of a corresponding non-homogeneous Poisson process and reliability theory. In this paper, the information properties of k-record values are presented based on Shannon information. Several upper and lower bounds for the entropy of k-record values are obtained.

An Application of Ordinal Regression Models in Analysis of Women Fertility Count Data in Kalburgi District of Karnataka State, India: A Case Study

Vijaykumar Kulkarni — 2015-10-08

The aim of the study is to use the application of ordinal regression models in determination of determinants of urban and rural women fertility in Kalburgi, Karnataka, India. A total of 1500 women were selected in which, 750 were from rural and 750 were from urban area by using systematic random sampling procedure. The data on different determinants were collected through well prepared questionnaire with direct personal interview method. The data were analyzed with ordinal regression model with logit, probit, clog-log and nlog-log built link functions using statistical software SPSS 21.0 version. The age respondent at marriage, age of spouse at the time of marriage, delivery at maternity hospitals, abortions and practicing any family planning method are exhibited negative regression coefficients, indicating that these are significantly and negatively associated with women fertility ordinal counts (p<0.05). But, the residence, income, occupation, age of spouse, duration of marriage, spouse is employed, knowledge about contraceptives, satisfactory medical facilities available, opinion about number of children for comfortable life and spouse is a blood relative are significantly and positively associated with women fertility ordinal counts (p<0.05). The ordinal regression model with complementary log-log built in link function has a maximum log likelihood value (-2019.8986) as compared to logit (-2989.1177), probit (-2078.3568) and Negative (n)log-log built link function (-3154.0832). Therefore, we conclude that the ordinal regression model with complementary log-log link function is better fit as compared to logit, negative (n) log-log and probit link functions in assessment of best contributing factors of women fertility.