Abstract
Probability and statistics are two branches of mathematics while probability deals with the laws governing random events, statistics encompasses collection, analysis, interpretation and display of numerical data. Probability has its origin in the study of gambling and insurance in the seventeenth century, and it is now an indispensable tool of both social and natural sciences. Statistics may be said to have its origin in census counts taken thousands of years ago; as a distinct scientific discipline, however, it was developed in the early nineteenth century as the study of populations and economics, and as the mathematical tool for analyzing such numbers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Prasanta Chandra Mahalanobis (June 29, 1893–June 28, 1972) was an Indian scientist and applied statistician. He is best remembered for the Mahalanobis distance, a statistical measure, and for being one of the members of the first Planning Commission of free India.
- 2.
Calyampudi Radhakrishna Rao, known as C R Rao (September 10, 1920–August 22, 2023), was an Indian-born, naturalized American, mathematician, and statistician. He was Professor Emeritus at Penn State University and Research Professor at the University at Buffalo. He has been honored by numerous colloquia, honorary degrees, and festschrifts and was awarded the US National Medal of Science in 2002.
- 3.
Sir Ronald Aylmer Fisher FRS (February 17, 1890–July 29, 1962), who published as R. A. Fisher, was a British statistician and geneticist. For his work in statistics, he has been described as “a genius who almost single-handedly created the foundations for modern statistical science” and “the single most important figure in twentieth-century statistics”.
References
Birajdar SM, Bhusnure OG, Mulaje SS (2014) Formulation and evaluation of fast disintegrating losartan potassium tablets by formal experimental design. Int J Res Dev Pharm Life Sci 3:1136–1150
Box GE, Hunter JS, Hunter WG (2005) Statistics for experimenters. Wiley, New York
Das D, Butola BS, Renuka S (2012) Optimization of fiber-water dispersion process using Box-Behnken design of experiments coupled with response surface methodology of analysis. J Dispers Sci Tech 33:1116–1120
Das D, Mukhopadhyay S, Kaur H (2012) Optimization of fiber composition in natural fiber reinforced composites using a simplex lattice design. J Compos Mater 46:3311–3319
Das D, Thakur R, Pradhan AK (2012) Optimization of corona discharge process using Box-Behnken design of experiments. J Electrost 70:469–473
Das D, Das S, Ishtiaque SM (2014) Optimal design of nonwoven air filter media: effect of fiber shape. Fibers Polym 15:1456–1461
Hu P, Zhang JM, Pei ZJ, Treadwell C (2002) Modeling of material removal rate in rotary ultrasonic machining: designed experiments. J Mater Process Tech 129:339–344
Kaur H, Das D, Ramaswamy S, Aslam B, Gries T (2013) Preparation and optimization of Flax/PLA yarn performs for development of biocomposites. Melliand Int 19
Kumar N, Das D (2017) Alkali treatment on nettle fibers. Part II: enhancement of tensile properties using design of experiment and desirability function approach. J Text Inst 108:1468–1475
Kumar V, Mukhopadhyay S, Das D (2017) Recipe optimization for sugarcane bagasse fibre reinforced soy protein biocomposite. Indian J Fibre Text Res 42:132–137
Lucas JM (1991) Using response surface methodology to achieve a robust process. 45th annual quality congress transactions, vol 45. Milwaukee, WI, pp 383–392
Montgomery DC (2007) Design and analysis of experiments. Wiley, New York
Pal R, Mukhopadhyay S, Das D (2012) Optimization of micro injection molding process with respect to tensile properties of polypropylene. Indian J Fiber Text Res 37:11–15
Park JH, Kim KJ, Lee JW, Yoon JK (2015) Leight-weight design of automotive suspension link based on design of experiment. Int J Automot Tech 16:67–71
Phadke MS, Phadke KM (2014) Utilizing design of experiments to reduce IT system testing cost. 2014 Annual reliability and maintenance symposium. IEEE, New York, pp 1–6
Pradhan AK, Das D, Chattopadhyay R, Singh SN (2016) An approach of optimal designing of nonwoven air filter media: effect of fiber fineness. J Ind Text 45(6):1308–1321
Thakur R, Das D (2016) A combined Taguchi and response surface approach to improve electret charge in corona-charged fibrous electrets. Fibers Polym 17:1790–1800
Thakur R, Das D, Das A (2014) Optimization of charge storage in corona-charged fibrous electrets. J Text Inst 105:676–684
Thakur R, Das D, Das A (2016) Optimization study to improve filtration behavior of electret filter media. J Text Inst 107:1456–1462
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Selvamuthu, D., Das, D. (2024). Introduction. In: Introduction to Probability, Statistical Methods, Design of Experiments and Statistical Quality Control. University Texts in the Mathematical Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-99-9363-5_1
Download citation
DOI: https://doi.org/10.1007/978-981-99-9363-5_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-99-9362-8
Online ISBN: 978-981-99-9363-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)