aniket jadhav

[Audio] STATISTICIANSINDIAN AS WELL AS FOREIGNER Name : aniket jadhav Roll no : FF45 Class : FYBSC (CS) DIV :F.

[Audio] INTRODUCTION Statistics is used in various fields, including science, economics, social sciences, and more, to summarize data and draw conclusions from it. It involves concepts like data distribution, probability, hypothesis testing, and various statistical methods to gain insights from data Statistics is a branch of mathematics and a powerful tool for collecting, organizing, analyzing, interpreting, and presenting data. It helps us make sense of complex.

[Audio] INDIANS STATISTICIAN C.R. Rao Early Life and Education: C.R. Rao was born on September 10, 1920, in India. He earned his Bachelor's degree in Mathematics from Andhra University and went on to complete a Master's degree in Statistics from Calcutta University. He later received a Ph.D. in Statistics from the University of Cambridge. Contributions: C.R. Rao's contributions to the field of statistics are vast and diverse. He is known for his work in Cramér-Rao Inequality: This fundamental result in mathematical statistics is named after him and deals with the lower bound of the variance of an estimato Multivariate Analysis: Rao made significant contributions to multivariate statistical analysis, including the development of the Rao-Blackwell theorem and the Rao score test. Linear Models: His work on linear models and the theory of estimation has been highly influential in statistical theory and applications..

[Audio] INDIAN STATISTICIAN S. R. S. Varadhan S. R. S. Varadhan was born on January 2, 1940, in Chennai, India. He earned his Bachelor's degree in Mathematics from Presidency College, Chennai. He went on to complete a Ph.D. in Probability Theory from the Indian Statistical Institute in Kolkata Contributions: Varadhan's primary area of expertise is probability theory. He is well-known for his work in large deviations theory, which deals with the study of rare events and extreme probabilities. His groundbreaking work on the theory of large deviations has had a profound impact on various fields, including statistical mechanics, economics, and finance. S. R. S. Varadhan is celebrated for his profound contributions to probability theory and the understanding of rare events. His work has had a lasting impact on mathematics and its applications in various scientific and economic disciplines..

[Audio] FOREIGN STATISTICIAN Andrey Kolmogorov Andrey Kolmogorov was born on April 25, 1903, in Tambov, Russia. He received his education at the University of Moscow and later completed his doctorate in mathematics at the age of 19. Contributions to Probability Theory: Kolmogorov's most famous work is his development of the modern axiomatic foundation of probability theory. He introduced the Kolmogorov axioms, which provide a rigorous mathematical framework for defining and working with probabilities. This work has had a profound impact on the entire field of probability theory.

[Audio] FOREIGN STATISTICIAN Jerzy Neyman Jerzy Neyman was born on April 16, 1894, in Bendery, Russia (now Moldova). He later became a naturalized American citizen. He earned his Ph.D. in mathematics from the University of Warsaw in 1924 Contributions to Statistics: Hypothesis Testing: Neyman is best known for his work on the theory of statistical hypothesis testing. He, along with Egon Pearson, developed the Neyman-Pearson Lemma and the concept of the "power" of a statistical test. These contributions laid the foundation for modern hypothesis testing procedures, including concepts like the significance level and p-values. Confidence Intervals: Neyman introduced the concept of confidence intervals, which provide a range of values within which a population parameter is likely to fall with a certain level of confidence.

[Audio] CONCLUSION In conclusion, statistics is a vital discipline that plays a crucial role in our understanding of data and uncertainty. Notable statisticians, both from India and around the world, have made significant contributions to the field. Figures like C.R. Rao and Jerzy Neyman have advanced statistical theory, while Andrey Kolmogorov's work in probability theory and S. R. S. Varadhan's contributions have had farreaching effects. These statisticians' work has left an enduring legacy in the realm of mathematics and statistics, providing the tools and frameworks necessary to analyze data, make informed decisions, and better comprehend the world around us. Their contributions have paved the way for advancements in various fields, from science and economics to social sciences and beyond, making statistics an invaluable discipline with widespread applications.