On a General System of Distributions: III. The Sample Range

Burr, Irving W.

doi:10.2307/2284034

Cited by 30 publications

(19 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The four-parameter Burr XII (Burr 1942(Burr , 1968(Burr , 1973Burr and Cislak 1968;Rodriguez 1977) distribution does not seem to have been previously evaluated for forest modelling but is adopted for this study because of the simple form of its Cumulative Distribution Function.…”

Section: Burr Distributionmentioning

confidence: 99%

Modeling Diameter Distribution of the Tropical Rainforest in Oban Forest Reserve

Igbinosa¹,

Ejakhe²

2014

JEE

View full text Add to dashboard Cite

Diameter distribution model was developed for tropical rainforest of Oban Forest Reserve. Multistage sampling technique was adopted for the study. The sampling procedure was made up of primary, secondary and tertiary sampling units. A total of 808 trees were measured in 14 tertiary sample plots (40m x 50m). Tree outside bark diameter at breast height (dbh) data, were measured for tree species with dbh ≥ 10 cm within the tertiary sampling units. Data were analysed on several probability density function (pdf), then ranked based on Kolmogorov smirnov, Anderson darling and Chi-Square.

show abstract

Section: Burr Distributionmentioning

confidence: 99%

Modeling Diameter Distribution of the Tropical Rainforest in Oban Forest Reserve

Igbinosa¹,

Ejakhe²

2014

JEE

View full text Add to dashboard Cite

show abstract

“…2. For further details, the reader should consult the original paper by Burr [12], or subsequent papers by Burr [13], Burr and Cislak [15], Rodriguez [76], and Rodriguez [78].…”

Section: Summary Of the Main Functional Formsmentioning

confidence: 99%

Frequency Curves, Systems of

Rodriguez¹

2005

Encyclopedia of Statistical Sciences

View full text Add to dashboard Cite

“…Consider the family of distributions given in Burr and Cislak [4] From (18) and (19), we have the predictive distribution at stage 1 as (20) …”

Section: Burr's Class Of Distributionsmentioning

confidence: 99%

Bayesian approach to prediction and the spacings in the exponential distribution

Lingappaiah

1979

Ann Inst Stat Math

View full text Add to dashboard Cite

SummaryA series of independent samples are drawn from a general population with positive variation f(x, ~), x>0. Based on the Bayesian approach, a general predictive distribution is given, to predict a statistic in the future sample based on the statistics in the earlier samples (or stages). Few general classes of distributions of this type like KoopmanPitman family, power function family and Burr's class of distributions are considered to show how this procedure works in predicting order statistics in the future sample. Also, the sum of the spacings in the future samples from an exponential population is predicted in terms of similar sum of spacings in the earlier samples. Discussion on the variance of this predictive distribution is dealt with. Finally, an illustrative example with simulated samples from an exponential population gives actual prediction of an order statistic as well as the sum of spacings in the future sample.

show abstract

On a General System of Distributions: III. The Sample Range

Cited by 30 publications

References 0 publications

Modeling Diameter Distribution of the Tropical Rainforest in Oban Forest Reserve

Modeling Diameter Distribution of the Tropical Rainforest in Oban Forest Reserve

Frequency Curves, Systems of

Bayesian approach to prediction and the spacings in the exponential distribution

Contact Info

Product

Resources

About