Author

# S. G. Prabhu Ajgaonkar

Bio: S. G. Prabhu Ajgaonkar is an academic researcher. The author has contributed to research in topics: Sample size determination & Convex function. The author has an hindex of 1, co-authored 2 publications receiving 5 citations.

##### Papers

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TL;DR: In this article, it is shown that by Schwarz's inequality for any two vectors, any convex function h(y) = \/y of a single real variable y can be replaced by a convex functions h(x, y) = x, y to obtain (1).

Abstract: of n real variables x1,x2,.. .xn, and use the fact that g (E(Xi), E (X2). I. . E (Xn) ) _< E(g(X-,X,,X. * .,X,,) ). to obtain (1) . Similarly consider the convex function h(y) = \/y of a single real variable y, use the fact n that h (E (Y)) E (h (Y) ), and replace Y by E X,2 to j 1 obtain (2). There is however a more elementary method for proving (1) and (2), which does not depend on the concept of convexity. It is as follows: By Schwarz's inequality for any two vectors

4 citations

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TL;DR: In this paper, the general impression that the precision of an estimator increases with increasing sample size is scrutinized and it is demonstrated that if the estimator under consideration is an average function, the statement does not hold good when the population elements are drawn with varying probabilities of selection at each draw.

Abstract: The general impression that precision of an estimator increases with increasing sample size is scrutinized. It is demonstrated that, if the estimator under consideration is an average function, the statement does not hold good when the population elements are drawn with varying probabilities of selection at each draw. An example is presented to illustrate the point.

1 citations

##### Cited by

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01 Jan 2008

TL;DR: In this article, the authors proposed a method to investigate differences of driving at a tactical level between different categories of drivers and found a significant correlation between their sensation seeking score and their mean speed on motorway.

Abstract: We propose a method to investigate differences of driving at a tactical level,
between different categories of drivers We analysed the naturalistic driving performance
of 19 French drivers using an instrumented vehicle We assessed their sensation seeking
scores with the Zuckerman questionnaire We observed a significant correlation between
their sensation seeking score and their mean speed on motorway We set up a method to
model their tactical behaviour and investigate possible correlation between their
sensation seeking score and their tendency to perform certain types of behaviour We
applied it to the study of lane changes on motorways We could model two categories of
lane changes but we show that they were not correlated with the sensation seeking
score Despite this negative first result, we are proposing an innovative approach for this
kind of study

2 citations

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TL;DR: In this paper, the problem of extending a given sampling design, when additional resources are available, is considered and some existing methods of improving an initial sampling strategy, so that the use of the additional resources is justified, are critically reviewed.

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TL;DR: The general impression quoted by Ajgaonkar is known to be true in some cases like sampling from an infinite theoretical population and when the sampling is done with replacement from a finite population, with the same set of probabilities of selection used for the different draws.

Abstract: The general impression quoted by Ajgaonkar is known to be true in some cases like sampling from an infinite theoretical population and when the sampling is done with replacement from a finite population, with the same set of probabilities of selection used for the different draws, to estimate the population mean in each case. In this case the sample values Xl, X2, . . . . Xn are independent and identically distributed random variables so that