Revisiting the Gumbel and the Gompertz Distribution: Potential Applications to Chemical Engineering Science


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Abstract


Well established tools in applied probability theory, the Gumbel and the Gompertz distributions are eligible candidates for extending the realm of random-variable based analysis of certain chemical processes and phenomena. A consecutive chemical reaction serves for the quantitative illustration of the subject matter whose understanding requires core-level familiarity with statistical tables and the statistical testing of hypotheses.
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Keywords


Probability Distributions; Goodness of Fit; Decomposition of Acrilonitrile to Diamine

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References


J. Mandel, The Statistical Analysis of Experimental Data (Dover, 1964), Section 55, p.99.

E. J. Gumbel, Probability Tables for the Analysis of Extreme Value Data, National Bureau of Standards Applied Mathematical Series, USA, 22 (1953).

E. J. Gumbel, Statistical Theory of Extreme Value and Some Practical Applications, National Bureau of Standards Applied Mathematical Series, USA, 33 (1954).

R. V. Hogg, J. Ledolter, Applied Statistics for Engineers and Physical Scientists, 2nd edn. (Macmillan, 1992), Section 3.3.2, pp.127-128.

A. W. Anderson, Pension Mathematics for Actuaries, 3rd edn. (ACTEX, 2006), Chapter 6.

C. Forbes, W. Evans, N. Hastings, B. Peacock, Statistical Distributions, 4th edn. (Wiley, 2011), pp. 98-101.
http://dx.doi.org/10.1002/9780470627242

E. W. Weinstein, Extreme Value Distribution from Mathworld-A Wolfram Web Resource, http://mathworld.wolfram.com/ExtremeValue Distribution,html/

M. Natrella, Extreme Value Distribution in Engineering Statistics Handbook NIST/SEMATECH 2005, http://www.itnist.gov/dev898/handbook/apr/section1/apr163.htm

J. L. Devore, Probability and Statistics for Engineering and the Sciences, 6th edn. (Brooks/Cole, 2004), pp. 195-197, Ex.103, pp. 200-201.

D. C. Montgomery, G.C. Runger, N. F. Hubele, Engineering Statistics, 3rd edn. (Wiley and Sons, 2004), Section 3.5.4, pp. 72-73.

S. B. Vardeman, Statistics for Engineering Problem Solving (PWS, 1994), pp. 211-213, pp. 227-232.

en.wikipedia.org/wiki/Gompertz distribution

M. Abramowitz, I. A. Stegun (eds), Handbook of Mathematical Functions (Dover, 1972), Table 5.1, pp. 238-243.

J. J. Tuma, Handbook of Numerical Calculations in Engineering (McGraw Hill, 1989), Table A.14, pp. 378-379.

J. J. Tuma, Engineering Mathematics Handbook, 2nd edn. (McGraw Hill, 1979), p.169.

G. A. Korn, Th. M. Korn, Mathematical Handbook for Scientists and Engineers, 2nd edn. (McGraw Hill, 1968), Table F-7, pp.1030-1032.

Y. L. Luke, Mathematical Functions and Their Approximations (Academic Press, 1975), Table 4.1, p.105.

C. Hastings Jr., Approximations for Digital Computers (Princeton University Press, 1962), pp. 188-190.

B. O. Peirce, A Short Table of Integrals, 4th edn. (Ginn and Company, 1956), #804,#807, p.96

J. M. Smith, Chemical Engineering Kinetics, 3rd edn. (McGraw Hill, 1981), pp. 238-242.

R. L. Scheaffer, J. T. McClave, Probability and Statistics for Engineers, 2nd edn. (Duxbury, 1986), Section 7.5, 325-333.

M. A. Stevens, EDF Statistics for Goodness of Fit and Some Comparisons, J. Am. Statist. Assoc. 69(1974)730-777.
http://dx.doi.org/10.2307/2286009

R. Porkess, Collins Dictionary of Statistics, (HarperCollins, 2005), Table 4, p.289.

W. H. Beyer (ed.), CRC Handbook of Tables for Probability and Statistics, 2nd edn. (CRC Press, 1968), Table X.7, pp. 425-426.

www.math.uah/edu/stat/special/Gompertz.html.


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