Laura Koskela, Bikas K. Sinha, Tapio Nummi. (2007). Some aspects of the sampling distribution of the Apportionment Index and related inference. Silva Fennica vol. 41 no. 4 article id 277. https://doi.org/10.14214/sf.277

Keywords: harvesting; bucking; dissimilarity index; multinomial distribution; overlapping coefficient

Abstract | View details | Full text in PDF | Author Info

As customer-oriented production strategies have gained ground in the sawmill industry, proper measurement of the fit between the log demand and log output distributions has become of crucial importance. The prevailing means of measuring the outcome is the so-called Apportionment Index (AI), which is calculated from the relative proportions of the observed and required distributions. Although some statistical properties of the AI have recently been examined and alternative means of measuring the bucking outcome have been suggested, properties of the sampling distribution of the AI have not yet been widely studied. In this article we examine the asymptotic sampling distribution for the AI by assuming a multinomial distribution for the outcome. Our results are based mainly on large-sample normal approximations. Also some studies of the determination of the number of logs needed to obtain a specified level of accuracy of the AI have been carried out.

Koskela, University of Tampere, Dept of Mathematics, Statistics and Philosophy, FI-33014 University of Tampere, Finland E-mail: laura.koskela@uta.fi
Sinha, Indian Statistical Institute, Kolkata, India E-mail: bks@nn.in
Nummi, University of Tampere, Dept of Mathematics, Statistics and Philosophy, FI-33014 University of Tampere, Finland E-mail: tn@nn.fi

Click this link to register to Silva Fennica.

If you are a registered user, log in to save your selected articles for later access.

Contents alert

Your selected articles
Send to email

Parviainen J., (1985) Growth of young Scots pine, Norway spruce, siber.. Silva Fennica vol. 19 no. 4 article id 5249 (remove) | Edit comment

Huuri O., (1965) The effects of storage in cones on the viability.. Acta Forestalia Fennica vol. 78 no. 5 article id 7158 (remove) | Edit comment

Smolander H., (1984) Measurement of fluctuating irradiance in field s.. Acta Forestalia Fennica vol. 0 no. 187 article id 7634 (remove) | Edit comment

Ruel J. J., Ayres M. P. (1996) Variation in temperature responses among populat.. Silva Fennica vol. 30 no. 2–3 article id 5582 (remove) | Edit comment

Heliövaara K., Väisänen R. et al. (1991) Quantitative biogeography of the bark beetles (C.. Acta Forestalia Fennica vol. 0 no. 219 article id 7606 (remove) | Edit comment

Kangas A., Mehtätalo L. et al. (2007) Modelling percentile based basal area weighted d.. Silva Fennica vol. 41 no. 3 article id 282 (remove) | Edit comment

Calama R., Montero G. (2005) Multilevel linear mixed model for tree diameter .. Silva Fennica vol. 39 no. 1 article id 394 (remove) | Edit comment

Follow @SilvaFennica