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zbn&)4#ocEoGs`jTF9hi(J%+ApQnCVQNn^C5Z_{#GMMl~z_YZZujc8y#V5!N4-4AH_ zc^L>gqy2iox`gfO9u+AU-fVJjN2e%vhQ(LtnHLKtFOj#AI4n+d*e7ruwG-SZ)!{@G z?-Xgd_@L1zCcgz$2SXc?83rbrtV>b5r)-p7GVzGL(^LQj^%z=r7`_^fFEDsPN)xx2 z3MjoxR~kbn3+^gy%xuW$!#@oPQs;SpPs1|i$#2`%G0d#CeP=GWm(Ms8rMD3^F}E*F zj=wRR0*ddH)X{C{saq0Pa+gH2QB)gC$b34aEapLui>?%PuD<4$SoC240knL_*h3#ncHt9 z9WyQ!Zb1UDF1HW@_%t;a3uANwJq0ZBoU=&dkdw`U!nk-5-ar7LFK>Hs2h`MTcDT^n zT>8W{9V0Gj8xYUz?U~*dmoVi@2+*klJ6PgHOuXBlY$GX}=!YZUc!K@KOOV6_JBiFK z(#+eLo4QFLNYYOcl!VQe_u}ZYaX^}FuaT?uokt8=ct8Vb->sGW>8h0}lQpgHBDB?3 kVXfC}_|EujE5poJd-=B~>XBOUWEdiZNsS2R=PJN&o-= literal 0 HcmV?d00001 diff --git a/2year/1trimester/Advanced Multivariate Statistics/Assignment/.Rhistory b/2year/1trimester/Advanced Multivariate Statistics/Assignment/.Rhistory new file mode 100644 index 000000000..224156e8a --- /dev/null +++ b/2year/1trimester/Advanced Multivariate Statistics/Assignment/.Rhistory @@ -0,0 +1,302 @@ +f = function(x) +{ +if( (0 <= x) & (x<= 7) ) +{ +return(1/7) +} +else +{ +return(0) +} +} +f(10) +f(6) +1/7 +integrate(f) +f +integrate(f) +integrate(0) +integrate(1/7) +f +integrate(f) +integrate(f, lower = inf) +integrate(f, lower = infinte) +infinite +inf +infy +infty +Inf +integrate(f, lower = Inf) +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +if( (0 >= x) & (x<= 7) ) +{ +return(1/7) +} +else +{ +return(0) +} +} +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +if( (0 >= x) & (x<= 7) ) +{ +return(1/7) +} +else +{ +return(0) +} +} +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +if( (x >= 0) & (x<= 7) ) +{ +return(1/7) +} +else +{ +return(0) +} +} +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +if( (x >= 0) & (x<= 7) ) +{ +return(1/7) +} +else +{ +return(0) +} +} +integrate(f) +f = function(x) +{ +(x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +} +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +if( (x >= 0) & (x<= 7) ) +{ +1/7 +} +else +{ +0 +} +} +#f = function(x) +#{ +# (x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +#} +integrate(f, lower = Inf, upper = Inf) +f = function(x) +{ +(x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +} +integrate(f) +f = function(x) +{ +(x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +} +integrate(f, lower = Inf, upper = Inf) +f +plot(f) +library(distr6) +install.packages(distr6) +install.packages("distr6") +library(distr6) +?distr6::kthmoment() +distr6::kthmoment(f, 1) +library(distr6) +f = function(x) +{ +(x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +} +integrate(f, lower = Inf, upper = Inf) +plot(f) +distr6::kthmoment(f, 1) +distr6::mgf(f,1) +library(distr6) +f = function(x) +{ +(x<0)*0 + (x>=0 & x<=7) * (1/7) + (x>7)*0 +} +integrate(f, lower = Inf, upper = Inf) +plot(f) +distr6::mgf(f) +?mgf +distr6::mgf(f,1) +mfg(1) +mgf(1) +mean(f) +integrate(f, lower = Inf, upper = Inf) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +mean(x1) +?distr6::Uniform +?distr6::Uniform$new(lower = 0 , upper = 1/7) +distr6::Uniform$new(lower = 0 , upper = 1) +ok = distr6::Uniform$new(lower = 0 , upper = 1/7) +ok$mgf() +ok$mgf +ok +plot(ok) +?dunif +ok = distr6::Uniform$new(f, lower = 0 , upper = 1/7) +?distr6::Distribution +lenght(1) +length(1) +length(3) +ok = distr6::Uniform$new(f, lower = 0 , upper = 1/7) +?distr6::Uniform$new() +?distr6::Uniform +distr6::Uniform$new(lower = 0 , upper = 1/7) +ok +plot(ok) +ok$mgf +ok$mgf(t = 1) +distr6::Uniform$new(lower = 0 , upper = 7) +d = distr6::Uniform$new(lower = 0 , upper = 7) +plot(d) +d$mean() +d = distr6::Uniform$new(lower = 0 , upper = 7) +integrate(d) +d +d$pdf() +d$print() +d$summary() +d$mgf(1) +d = distr6::Uniform$new(lower = 0 , upper = 7) +plot(d) +d$mgf(t = 1) +integrate(d) +d$cdf() +d$cdf +d$pdf +integrate(d$pdf) +integrate(d$pdf, lower = 0 , upper = 7) +integrate(d$pdf, lower = -Inf , upper = Inf) +d$mgf(t = 1) +as.matrix(x1,x2,x3) +x2 +x3 +as.matrix(x1,x2,x3) +x1 +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +as.matrix(x1,x2,x3) +matrix(x1,x2,x3) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +matrix(x1,x2,x3) +?matrix +?as.matrix +c(x1,x2,x3) +as.matrix(c(x1,x2,x3)) +as.matrix(c(x1,x2,x3), nrow(3)) +as.matrix(c(x1,x2,x3), nrow= 3) +matrix(c(x1,x2,x3), nrow= 3) +matrix(c(x1,x2,x3), nrow= 4) +matrix(c(x1,x2,x3), nrow= 4) +matrix(c(x1,x2,x3), ncol = 4) +matrix(c(x1,x2,x3), ncol = 3) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +matrix(c(x1,x2,x3), ncol = 3) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +m = matrix(c(x1,x2,x3), ncol = 3) +m +Matrix::mean(m) +cov(m) +cov(m) +mean(m) +cov(x1,x2,x3) +mean(x1) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +m = matrix(c(x1,x2,x3), ncol = 3) +vector_mean = c(mean(x1), mean(x2), mean(x3)) +cov(m) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +m = matrix(c(x1,x2,x3), ncol = 3) +vector_mean = c(mean(x1), mean(x2), mean(x3)) +cov(m) +vector_mean +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +m = matrix(c(x1,x2,x3), ncol = 3) +vector_means = c(mean(x1), mean(x2), mean(x3)) +cov(m) +x1 = c(12,11,8,14,10) +x2 = c(10,8,5,11,7) +x3= c(8,11,11,13,6) +m = matrix(c(x1,x2,x3), ncol = 3) +vector_means = c(mean(x1), mean(x2), mean(x3)) +vector_means +cov(m) +plot(d) +library(distr6) +d = distr6::Uniform$new(lower = 0 , upper = 7) +#(i) +integrate(d$pdf, lower = -Inf , upper = Inf) +#(ii) +plot(d) +curve(d) +curve(d) +#(ii) +plot(d) +?curve() +curve(d,from = 0, to=7) +curve(plot(d),from = 0, to=7) +curve(from = 0, to=7) +#(ii) +curve(d) +plot(d) +curve(d$pdf) +plot(d$pdf) +plot(d$cdf()) +plot(d$cdf +) +plot(d) +curve(d) +curve(distr6::Uniform$new(lower = 0 , upper = 7)) +curve(distr6::Uniform$new(lower = 0 , upper = 7)) +curve(d(x)) +d$print() +d$print +d$summary() +curve(d$summary()) +plot(d, type='l') +plot(d) +plot(d)[1] +curve(d) +d +d$cdf() +d$cdf +d$pdf +curve(d$pdf) +curve(d$pdf(x)) +curve(d(x)) +#(i) +integrate(d$pdf, lower = -Inf , upper = Inf)