Chemistry

CS4770: Pattern Recognition: Lecture Note 1 A Light Introduction to stochastic Vari adapteds and Density Functions
Anoop M. Namboodiri IIIT, Hyderabad, INDIA. anoop@iiit.ac.in

1 Introduction
Random variables are the primary mechanisms by which one deals with variability, noise and indecision of real-world phenomena, their observations and inferences, in statistical figure of speech recognition (SPR). Consider a variable x, which represents the height of a college student in India. permit us consider that the height of a students can be anywhere between cl cm and 190 cm. i.e, x ? [150, 190]. If we randomly select a student (draw a random archetype), we will get a height between 150 and 190. Hence we call(a) x, the height of a college student in India, a random variable, which assumes a speci?c honor from its range, every time we draw a sample. Let us assume that we conduct the following experiment: We randomly select a college student from India and measure his/her height. We can ask several questions regarding the egress of our experiment. How likely are we to get a student of height, ordain 172? If we repeat the experiment 500 times, how many samples will micturate a height greater than 180? Are all the height measurements equally likely? If not, what is the most likely value for height? What is the expected value of height?



Is it the same as above? What is the expected value of height, apt(p) that the gender of the sample is, say female? By the end of this tutorial, you should be able to answer all the above questions (and those at the end) with clear reasoning. Speci?cally, the proceed question is most interesting from the point of view of pattern classi?cation, which asks the inverse question, what is the most likely gender of a sample, given that the height is 165? Before we dive deeper into the details, we introduce a 1

few terms that will be useful with the remainder of this tutorial. The set of all possible samples in the puzzle is referred to as the population. This...If you want to get a full essay, position it on our website: Orderessay



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