zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A new approach to the economic analysis of nonstationary time series and the business cycle. (English) Zbl 0685.62092
The paper proposes a discrete-state Markov process model for specifying a nonstationary time series of economic data representing the business cycle. Thus the mean growth rate of a nonstationary series such as postwar U.S. real GNP is viewed subject to occasional, discrete shifts of regime due for example to oil shocks or Suez crisis. An empirical application of this technique to modeling changes in regime from an upswing to downswing and vice versa to US data on real GNP over 1951 to 1984 suggests that the periodic shift from a positive growth rate to a negative growth rate is a recurrent feature of the U.S. business cycles.
Reviewer: J.K.Sengupta

62P20Applications of statistics to economics
91B84Economic time series analysis