Stereological analysis of particles of varying ellipsoidal shape

1988 ◽  
Vol 25 (2) ◽  
pp. 322-335 ◽  
Author(s):  
J. Møller

Stereological analysis of d-dimensional particles of ellipsoidal shape based on lower-dimensional sections through the particles is discussed. It is proved that the non-void intersections between three parallel hyperplanes and an ellipsoid uniquely determine the ellipsoid, and based on this fact we may reconstruct ellipsoids from sectional information. Combining this reconstruction with a new sampling procedure we obtain a useful tool for non-parametric stereological analysis of particle aggregates of ellipsoids. Finally, parametric models for ellipsoids which are mathematically convenient for the present set up are introduced and discussed.

1988 ◽  
Vol 25 (02) ◽  
pp. 322-335
Author(s):  
J. Møller

Stereological analysis of d-dimensional particles of ellipsoidal shape based on lower-dimensional sections through the particles is discussed. It is proved that the non-void intersections between three parallel hyperplanes and an ellipsoid uniquely determine the ellipsoid, and based on this fact we may reconstruct ellipsoids from sectional information. Combining this reconstruction with a new sampling procedure we obtain a useful tool for non-parametric stereological analysis of particle aggregates of ellipsoids. Finally, parametric models for ellipsoids which are mathematically convenient for the present set up are introduced and discussed.


Author(s):  
Mehdi Ahmadian ◽  
Xubin Song

Abstract A non-parametric model for magneto-rheological (MR) dampers is presented. After discussing the merits of parametric and non-parametric models for MR dampers, the test data for a MR damper is used to develop a non-parametric model. The results of the model are compared with the test data to illustrate the accuracy of the model. The comparison shows that the non-parametric model is able to accurately predict the damper force characteristics, including the damper non-linearity and electro-magnetic saturation. It is further shown that the parametric model can be numerically solved more efficiently than the parametric models.


2008 ◽  
Vol 35 (5) ◽  
pp. 567-582 ◽  
Author(s):  
Adam J. Branscum ◽  
Timothy E. Hanson ◽  
Ian A. Gardner

2016 ◽  
Vol 14 (1) ◽  
pp. 33
Author(s):  
N. M. Heriyanto ◽  
Endro Subiandono

<p>The ecological aspects of kluwak/pakem tree (Pangium edule Reinw) were observed at three location namely Pakeman, Sumber Salak and Sumber Gadung, Sub section II of Conservation Regional Office, Ambulu-Meru Betiri National Park, East Java in October-December 2006. Three transect line measuring 20 m x 1000 m were established accrossed the slope in which observation plots were set up by employing purposive random sampling procedure. The result showed that most of Pangium habitat was found in steep area along the river. Association around the kluwak/pakem trees includes besule trees/Chydenanthus excelsus Miers. Important Value Index (IVI) 28.5%, and wining trees/Pterocybium javanicum R. Br. (IVI 20%). However, wining trees was the most closest association with Pangium vegetation. Biophyisical information of the Pangium vegetation were as follows: 24-30oC daily temperature, 50-80% humidity, 10-65% slope, and 15-306 m altitude. The soil is Latosol with pH 5.5-6.5. Harvesting of fruit of Pangium trees by community surrounding the forest had no negative impact to the trees but this activity should be managed accordingly to avoid disturbing tree generation.</p><p> </p><p><strong>Abstrak</strong></p><p>Penelitian dilakukan pada bulan Oktober-Desember 2006 di blok Pakeman, blok Sumber Salak, dan blok Sumber Gadung Subseksi II Ambulu, Taman Nasional Meru Betiri, Jawa Timur, untuk mengetahui beberapa aspek ekologi pohon kluwak/pakem (Pangium edule Reinw.). Pengumpulan data menggunakan metode pengukuran pada jalur berpetak dengan lebar jalur 20 m dan panjang 1.000 m, jalur memotong lereng dan jumlah jalur pengamatan 3 jalur. Petak-petak penelitian ditetapkan secara sengaja dengan metode purposive sampling, di mana pengukuran dilakukan pada tempat-tempat yang terdapat pohon kluwak/pakem. Hasil penelitian menunjukkan bahwa habitat kluwak/pakem di Taman Nasional Meru Betiri banyak dijumpai di sepanjang pinggiran aliran air dan topografi agak curam. Komposisi vegetasi di sekitar pohon kluwak/pakem banyak dijumpai jenis besule (Chydenanthus excelsus Miers) dengan Indeks Nilai Penting (INP) 28,5% dan wining (Pterocybium javanicum R. Br.) dengan INP 20%. Lingkungan fisik yang berkaitan erat dengan kluwak/pakem adalah suhu antara 24-30oC, kelembaban udara 50-80%, kemiringan lahan 10-65%, dan ketinggian tempat di atas permukaan laut 15-306 m. Jenis tanah Latosol dengan tekstur geluh lempungan dengan pH 5,5-6,5. Wining merupakan jenis tumbuhan yang mempunyai asosiasi kuat dengan kluwak/pakem, yang ditunjukkan oleh nilai Indeks Ochiai mendekati nilai satu dan di lapang ditemukan secara bersama-sama dengan pohon kluwak/pakem. Pemanenan buah kluwak/pakem oleh masyarakat tidak berpengaruh buruk pada pohonnya, namun perlu dikelola dengan baik agar tidak mengganggu regenerasi.</p>


1989 ◽  
Vol 48 (2) ◽  
pp. 331-339 ◽  
Author(s):  
D. A. Elston ◽  
C. A. Glasbey ◽  
D. R. Neilson

ABSTRACTLactation curves are fitted to data as a preliminary to estimating summary statistics. Two widely quoted curves are atbe-ct (Wood, 1967) and a(1 - e-bt) - ct (Cobby and Le Du, 1978), each of which has three parameters. Restriction to either of these curves imposes limitations on the fit to the data and can result in biased estimation of summary statistics. Alternatively, lactation curves can be generated by the use of a non-parametric method which requires only weak assumptions about the signs of derivatives of the curves. Because the non-parametric curves are more flexible, estimates of summary statistics are less likely to be biased than those based on parametric models. Use of the non-parametric curves is particularly advantageous around the time of peak yield, where the curves of Wood and Cobby and Le Du are known to fit data poorly.


1989 ◽  
Vol 38 (1-2) ◽  
pp. 93-114
Author(s):  
Indranil Mukhopadhyay

In this paper non-parametric tests for the multiple resrcssion set up which take into account the known permutation symmetry of the variates under the null hypothesis, are suggested. It bas been shown that under permutation symmetry the proposed procedure is more efficient than the standard nonparametric procedure for the multiple regression problem (see e.g. Puri and Sen (1985) ). A special situation where it is further known in advance that the regressions are identical is also considered briefly.


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