Topics in Circular Statistics

Jammalamadaka, S. Rao; SenGupta, Ashis

doi:10.1142/9789812779267

Cited by 545 publications

(592 citation statements)

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“…The details of the method are given in Okamura & Semba (). The three models were fitted using the R software (R Core Team; http://www.r-project.org) and CircStats package (Jammalamadaka & SenGupta, ).…”

Section: Methodsmentioning

confidence: 99%

Age and growth of the midwater crocodile shark Pseudocarcharias kamoharai

Lessa

Andrade

Lima

et al. 2015

Journal of Fish Biology

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Age and growth were analysed on the basis of 372 vertebrae from specimens of the crocodile shark Pseudocarcharias kamoharai (66·0-122·0 cm, total length, LT ) collected in the south-western Atlantic Ocean. Centrum edge analysis suggested the first four months of the year as the period of band completion, leading to acceptance of free-living bands as annual. A pre-birth ring is formed in embryos >31·0 cm LT , whereas the birthmark is deposited in newborns of 46·1 ± 1·1 cm LT (mean ± s.d.). Growth was parameterized using seven models and the AIC was used for selection of the most plausible model. The von Bertalanffy growth model received the greatest support from the data, providing the following growth parameters for combined sexes: L∞ = 129·2 cm, k = 0·137 year(-1) and t0 = -3·9 years. No significant differences were detected in growth by sex, but significant differences in age composition by sex were found in the sample. Overall age ranged from 2 to >13 years in females and from 1 to 8 years in males. Males achieved first maturity at 3·1 years and females at 5·1 years, with pregnancy appearing at 4·8 years. Similar to other lamnoid species, P. kamoharai is relatively fast growing.

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Section: Methodsmentioning

confidence: 99%

Age and growth of the midwater crocodile shark Pseudocarcharias kamoharai

Lessa

Andrade

Lima

et al. 2015

Journal of Fish Biology

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“…The reader wanting to know more about circular data should consult one of the excellent texts available. The first comprehensive treatment was published by Mardia,81 followed by Batschelet,82 Fisher,1 Mardia and Jupp,3, and Jammalamadaka and SenGupta 4. The texts by Batschelet and Fisher are more applied books oriented toward the working scientist wanting to apply the methods, whereas the others are more theoretical.…”

Section: Resultsmentioning

confidence: 99%

“…There are also specialized methods of data display for samples of circular data, such as rose diagrams, circular histograms, circular dotplots and nonparametric density estimates based on kernel smoothing. These data displays are discussed in Refs 1,3,4. Density estimation is considered in Refs 5–8.…”

Section: Location Dispersion and Circular Momentsmentioning

confidence: 99%

“…Another approach is to fit a mixture model, and test for the homogeneity of the mixture. See Ref 4, Ch 10 for a discussion. Finally, Collett79 and SenGupta80 approach the outlier problem though slippage tests, where all observations but one have a common distribution, but the distribution of the remaining observation has a different mean direction.…”

Section: Other Topicsmentioning

confidence: 99%

“…The book by Jammalamadaka and SenGupta4 contains examples illustrating the use of an R package CircStats, written by Ulrick Lund, that will perform many simple calculations (such as summary statistics and some simple tests) on circular data. It will also generate random angles from the standard distributions, plot circular data and fit the standard distributions to data.…”

Section: Other Topicsmentioning

confidence: 99%

See 2 more Smart Citations

Circular data

Lee

2010

WIREs Computational Stats

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The special nature of circular data means that conventional methods suitable for the analysis of linear data do not apply. In this article, we survey a range of methods that have been developed over the last 50 years to handle the special characteristics of data consisting of angular measurements. We discuss summary statistics and graphical methods, methods for the analysis of single and multiple samples of circular data, circular correlation, regression methods, and time series. We discuss the standard probability models on which these analyses are based, and give several examples of the application of these methods. A reasonably comprehensive bibliography is provided .

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Directional Statistics

Jupp

2005

Encyclopedia of Statistical Sciences

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Topics in Circular Statistics

Cited by 545 publications

References 0 publications

Age and growth of the midwater crocodile shark Pseudocarcharias kamoharai

Age and growth of the midwater crocodile shark Pseudocarcharias kamoharai

Circular data

Directional Statistics

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