# Best fitted distribution to my dataset?

I'd like to find best distribution to my data set below, and I have used (fitdistrplus) package but I do not know which distribution is fitted my data because my data set contains zeros. I used the commands below in R, but it does not work for most distributions, including the normal distribution.

Can anyone help me?

## Best fitted distribution

require(fitdistrplus)
require(logspline)

descdist(MR1, discrete=FALSE)

fit.norm <- fitdist(MR1, "normal")
plot(fit.norm)


My dataset:

(27 3.5 8.1 4.2 0.6 0 0 0 0 18.9 62.2 23.1 2.6 17 8.7 23.8 0.3 0 0 0 0 0 6.2 5.5 40 14.3 25.1 4.7 3.2 0 0 0 0 0 0.8 3.2 12.8 0.7 10.9 4.1 0.6 0 0 0 0 33 53.9 26.9 32.5 18.4 32.9 0 0 0 0 0 0 0 0 0 19.2 7.8 3.7 0 0 0 0 0 0 0 6 12.1 10 7 0.3 4.2 0 0 0 0 0 10.8 59.7 10 12.1 6.6 7 25.7 6 0 0 0 0 4 7.6 11.7 5 0.4 9.3 16 4 0 0 0 0 0.4 5.3 12.4 0 0 0.403 7.185 7.179 0 0 0 0 0.002 25.302 20.4 24.802 1.201 1.002 4.402 7.202 0 0 0 0 0.002 11.1 1.703 27.705 9.702 12.804 12.402 0.203 0 0 0 0 0.001 6.601 2.003 25.505 43.304 0.001 36.605 11.303 0 0 0 0 2.814 27.101 44.1 12.403 2.405 0.006 8.302 0.004 0 0 0 0 0.002 0.001 12.803 19.606 1.001 0.502 0.203 2.006 0 0 0 0 28.801 0.502 19.801 0.002 5.802 19.502 16.8 0.205 0 0 0 0 7.403 5.105 9.502 2.703 14.802 5.903 13.402 8.601 0 0 0 0 0 0 4.902 21.803 19.8 4.802 21.904 1.6 0 0 0 0 0.301 0.001 1.101 0.204 3.901 2.802 0.201 1.7 0 0 0 0 2.403 15.701 21.902 27.602 3.201 0.001 0.005 20.001 0 0 0 0 1.901 103.302 0.104 37.701 2.603 26.304 12.604 0.002 0 0 0 0 2.902 16.003 6.465)

• This isn't clear. Why do you need to identify the distribution of these data anyway? – gung Aug 5 '15 at 0:43
• With a mix of discrete (the spike at 0) and (apparently) continuous, the usual laundry list of distributions would be useless. If you do come up with a plausible distribution with some few parameters, it will certainly be wrong (i.e. merely an approximation of the distribution) Why would you need to identify a distribution? (Actually, this problem looks slightly familiar -- is this an exercise for some class?) Can you say more about what is being measured here? – Glen_b Aug 5 '15 at 1:04
• Thanks for your answer the measured data is rainfall and the purpose of distribution is part of time series analysis of rain data for hydrological studies – Salam Abbas Aug 5 '15 at 1:49
• Thanks for the information; it really should be in your question. I've added some information to my answer. – Glen_b Aug 5 '15 at 1:54
• Thanks for your valuable comment the data is monthly rainfall from January 1994 to December 2014 – Salam Abbas Aug 5 '15 at 2:04