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Determinants of firm survival: a duration analysis using the generalized gamma distribution

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Abstract

We use parametric duration analysis to study the survival of Austrian firms. We find that hazard rates in both manufacturing and services initially increase, reach a peak after the first year of operation and then decrease with age. The maximum hazard rate is higher in services. We also find differences in hazard rates among different types of manufacturing industries distinguished by the nature of their sunk costs, their reliance on human resources and inputs from external services. Finally, we find that larger initial size and higher market growth, and at the same time lower net entry and declining market concentration prolong the life of an entrant.

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Notes

  1. Surveys of the literature on the mobility of firms, of which the literature on firm survival is a permanent strand, include Siegfried and Evans (1994), Geroski (1995), Sutton (1997) and Caves (1998). Of related interest is the sociological literature on organizational ecology exemplified by Hannan and Carroll (1992) and Carroll and Hannan (2000).

  2. In the framework of empirical duration analysis, the positive effect of an explanatory variable on duration derives from its negative effect on the probability of exit. We will return to this point in Sect. 3.2.

  3. We exclude these for various reasons. Competition in the farming industry is largely shaped by its unique regulatory environment. Data on mining and utilities are sparse, while non-market services mostly belong to the public sector.

  4. Stiglbauer (2003) argues that, due to the economies of scale in administrative reporting, the bulk of the data can be found on the level of enterprises, not establishments. Clearly, this uncertainty is negligible for small firms.

  5. At the same time, net entry can proxy opportunities perceived by entrants (Peneder 2007).

  6. This hypothesis takes a bird's eye view of the evolution of industries by identifying several stages of development, starting with an embryonic industry environment, to a growing industry followed by eventual shakeout (a mass exit), maturity and decline (Klepper 1996).

  7. Our discussion draws heavily on the exposition by Lancaster (1990). Other references on duration models include Kalbfleisch and Prentice (1980), Cox and Oakes (1984), Le (1997), and Cleves et al. (2004).

  8. For a discussion of censoring and truncation in parametric models see, for example, chapter 4 in Cleves et al. (2004).

  9. The degrees of freedom are as follows: 9 for the generalized gamma model, 8 for the log-normal and Weibull models, and 7 for the model based on exponential distribution.

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Acknowledgments

This paper benefited from comments and suggestions by Werner Hölzl, Peter Huber, Michael Pfaffermayr and Egon Smeral, and the editorial assistance of Christine Kaufmann and Astrid Nolte. We are particularly indebted to Marianne Schöberl and Peter Huber, who invested much time, effort and ingenuity in compiling the micro-data from the Austrian social security files and shared them with us. All remaining errors are the sole responsibility of the authors. Both authors gratefully acknowledge financial support from the Jubiläumsfond of the Austrian National Bank (Grant No. 11092).

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Correspondence to Serguei Kaniovski.

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Kaniovski, S., Peneder, M. Determinants of firm survival: a duration analysis using the generalized gamma distribution. Empirica 35, 41–58 (2008). https://doi.org/10.1007/s10663-007-9050-3

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