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Field name	Details
Dewey Class	519.2
Title	Stochastic Models of Air Pollutant Concentration ([EBook] /) / by Jan Grandell.
Author	Grandell, Jan
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 1985.
Physical Details	120 p. : online resource.
Series	Lecture Notes in Statistics 0930-0325 ; ; 30
ISBN	9781461210948
Summary Note	About fifteen years ago Henning Rodhe and I disscussed the calculation of residence times, or lifetimes, of certain air pollutants for the first time. He was interested in pollutants which were mainly removed from the atmosphere by precipitation scavenging. His idea was to base the calculation on statistical models for the variation of the precipitation i~tensity and not only on the average precipitation intensity. In order to illustrate the importance of taking the variation into account we considered a simple model - here called the Markov model - for the precipitation intensity and computed the distribution of the residence time of an aerosol particle. Our expression for the average residence time - here formula (13- was rather much used by meteorologists. Certainly we were pleased, but while our ambition had been to provide an illustration, our work was merely understood as a proposal for a realistic model. Therefore we found it natural to search for more general models. The mathematical problems involved were the origin of my interest in this field. A brief outline of the background, purpose and content of this paper is given in section 1. It is a pleasure to thank Gunnar Englund, Georg Lindgren, Henning Rodhe and Michael Stein for their substantial help in the pre paration of this paper and Iren Patricius for her assistance in typing.:
Contents note	1 Introduction -- 2 Some basic probability -- 3 The general model -- 4 Residence times and mean concentrations -- 5 The variance of the concentration -- 6 The Gibbs and Slinn approximation -- 7 Precipitation scavenging -- 8 The concentration process -- A1 Inequalities for the mean concentration -- A2 Conditions for E(c’(t))=0 -- A3 Approximations for “long-lived” particles -- A4 Models with dependent sink and source -- A5 Proof of formula (38) -- References -- Index of references -- Index of notation.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-1094-8
Links to Related Works	Subject References: Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Grandell, Jan . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Statistics . Classification: 519.2 .

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Stochastic Models of Air Pollutant Concentration

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