fitTriBin | R Documentation |
The function will fit the Triangular Binomial distribution when random variables, corresponding frequencies and mode parameter are given. It will provide the expected frequencies, chi-squared test statistics value, p value, degree of freedom and over dispersion value so that it can be seen if this distribution fits the data.
fitTriBin(x,obs.freq,mode)
x |
vector of binomial random variables. |
obs.freq |
vector of frequencies. |
mode |
single value for mode. |
0 < mode=c < 1
x = 0,1,2,...
0 < mode < 1
obs.freq ≥ 0
NOTE : If input parameters are not in given domain conditions necessary error messages will be provided to go further.
The output of fitTriBin
gives the class format fitTB
and fit
consisting a list
bin.ran.var
binomial random variables.
obs.freq
corresponding observed frequencies.
exp.freq
corresponding expected frequencies.
statistic
chi-squared test statistics value.
df
degree of freedom.
p.value
probability value by chi-squared test statistic.
fitTB
fitted probability values of dTriBin
.
NegLL
Negative Log Likelihood value.
mode
estimated mode value.
AIC
AIC value.
over.dis.para
over dispersion value.
call
the inputs of the function.
Methods summary
, print
, AIC
, residuals
and fitted
can be used to extract specific outputs.
Horsnell, G. (1957). Economic acceptance sampling schemes. Journal of the Royal Statistical Society, Series A, 120:148-191.
Karlis, D. & Xekalaki, E., 2008. The Polygonal Distribution. In Advances in Mathematical and Statistical Modeling. Boston: Birkhuser Boston, pp. 21-33.
Available at: doi: 10.1007/978-0-8176-4626-4_2.
Okagbue, H. et al., 2014. Using the Average of the Extreme Values of a Triangular Distribution for a Transformation, and Its Approximant via the Continuous Uniform Distribution. British Journal of Mathematics & Computer Science, 4(24), pp.3497-3507.
Available at: doi: 10.9734/BJMCS/2014/12299.
No.D.D <- 0:7 #assigning the random variables Obs.fre.1 <- c(47,54,43,40,40,41,39,95) #assigning the corresponding frequencies modeTriBin <- EstMLETriBin(No.D.D,Obs.fre.1)$mode #assigning the extracted the mode value #fitting when the random variable,frequencies,mode value are given. results <- fitTriBin(No.D.D,Obs.fre.1,modeTriBin) results #extract AIC value AIC(results) #extract fitted values fitted(results)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.