0.697)return Math.exp(x)-1;if(a>1e-8){y=Math.exp(x)-1;}else{y=(x/2+1)*x;}
+y-=(1+y)*(jstat.log1p(y)-x);return y;}
+jstat.logBeta=function(a,b){var corr,p,q;p=q=a;if(bq)q=b;if(p<0){console.warn('Both arguements must be >= 0');return Number.NaN;}
+else if(p==0){return Number.POSITIVE_INFINITY;}
+else if(!jstat.isFinite(q)){return Number.NEGATIVE_INFINITY;}
+if(p>=10){corr=jstat.lgammacor(p)+jstat.lgammacor(q)-jstat.lgammacor(p+q);return Math.log(q)*-0.5+jstat.LN_SQRT_2PI+corr
++(p-0.5)*Math.log(p/(p+q))+q*jstat.log1p(-p/(p+q));}
+else if(q>=10){corr=jstat.lgammacor(q)-jstat.lgammacor(p+q);return jstat.lgamma(p)+corr+p-p*Math.log(p+q)
++(q-0.5)*jstat.log1p(-p/(p+q));}
+else
+return Math.log(jstat.gamma(p)*(jstat.gamma(q)/jstat.gamma(p+q)));}
+jstat.dbinom_raw=function(x,n,p,q,give_log){if(give_log==null)give_log=false;var lf,lc;if(p==0){if(x==0){return(give_log)?0.0:1.0;}else{return(give_log)?Number.NEGATIVE_INFINITY:0.0;}}
+if(q==0){if(x==n){return(give_log)?0.0:1.0;}else{return(give_log)?Number.NEGATIVE_INFINITY:0.0;}}
+if(x==0){if(n==0)return(give_log)?0.0:1.0;lc=(p<0.1)?-jstat.bd0(n,n*q)-n*p:n*Math.log(q);return(give_log)?lc:Math.exp(lc);}
+if(x==n){lc=(q<0.1)?-jstat.bd0(n,n*p)-n*q:n*Math.log(p);return(give_log)?lc:Math.exp(lc);}
+if(x<0||x>n)return(give_log)?Number.NEGATIVE_INFINITY:0.0;lc=jstat.stirlerr(n)-jstat.stirlerr(x)-jstat.stirlerr(n-x)-jstat.bd0(x,n*p)-jstat.bd0(n-x,n*q);lf=Math.log(jstat.TWO_PI)+Math.log(x)+jstat.log1p(-x/n);return(give_log)?lc-0.5*lf:Math.exp(lc-0.5*lf);}
+jstat.max=function(values){var max=Number.NEGATIVE_INFINITY;for(var i=0;imax){max=values[i];}}
+return max;}
+var Range=Class.extend({init:function(min,max,numPoints){this._minimum=parseFloat(min);this._maximum=parseFloat(max);this._numPoints=parseFloat(numPoints);},getMinimum:function(){return this._minimum;},getMaximum:function(){return this._maximum;},getNumPoints:function(){return this._numPoints;},getPoints:function(){var results=[];var x=this._minimum;var step=(this._maximum-this._minimum)/(this._numPoints-1);for(var i=0;ieps){xsq=x*x;xnum=a[4]*xsq;xden=xsq;for(i=0;i<3;++i){xnum=(xnum+a[i])*xsq;xden=(xden+b[i])*xsq;}}else{xnum=xden=0.0;}
+temp=x*(xnum+a[3])/(xden+b[3]);if(lower)cum=0.5+temp;if(upper)ccum=0.5-temp;if(log_p){if(lower)cum=Math.log(cum);if(upper)ccum=Math.log(ccum);}}else if(y<=jstat.SQRT_32){xnum=c[8]*y;xden=y;for(i=0;i<7;++i){xnum=(xnum+c[i])*y;xden=(xden+d[i])*y;}
+temp=(xnum+c[7])/(xden+d[7]);xsq=jstat.trunc(x*16)/16;del=(x-xsq)*(x+xsq);if(log_p){cum=(-xsq*xsq*0.5)+(-del*0.5)+Math.log(temp);if((lower&&x>0.)||(upper&&x<=0.))
+ccum=jstat.log1p(-Math.exp(-xsq*xsq*0.5)*Math.exp(-del*0.5)*temp);}
+else{cum=Math.exp(-xsq*xsq*0.5)*Math.exp(-del*0.5)*temp;ccum=1.0-cum;}
+if(x>0.0){temp=cum;if(lower){cum=ccum;}
+ccum=temp;}}
+else if((log_p&&y<1e170)||(lower&&-37.51930.)||(upper&&x<=0.))
+ccum=jstat.log1p(-Math.exp(-xsq*xsq*0.5)*Math.exp(-del*0.5)*temp);}
+else{cum=Math.exp(-xsq*xsq*0.5)*Math.exp(-del*0.5)*temp;ccum=1.0-cum;}
+if(x>0.0){temp=cum;if(lower){cum=ccum;}
+ccum=temp;}}else{if(x>0){cum=(log_p)?0.0:1.0;ccum=(log_p)?Number.NEGATIVE_INFINITY:0.0;}else{cum=(log_p)?Number.NEGATIVE_INFINITY:0.0;ccum=(log_p)?0.0:1.0;}}
+return[cum,ccum];}
+var p,cp;var mu=this._mean;var sigma=this._sigma;var R_DT_0,R_DT_1;if(lower_tail){if(log_p){R_DT_0=Number.NEGATIVE_INFINITY;R_DT_1=0.0;}else{R_DT_0=0.0;R_DT_1=1.0;}}else{if(log_p){R_DT_0=0.0;R_DT_1=Number.NEGATIVE_INFINITY;}else{R_DT_0=1.0;R_DT_1=0.0;}}
+if(!jstat.isFinite(x)&&mu==x)return Number.NaN;if(sigma<=0){if(sigma<0){console.warn("Sigma is less than 0");return Number.NaN;}
+return(x0){var nd=new NormalDistribution(meanlog,sdlog);return nd._cdf(Math.log(x),lower_tail,log_p);}
+if(lower_tail){return(log_p)?Number.NEGATIVE_INFINITY:0.0;}else{return(log_p)?0.0:1.0;}},getLocation:function(){return this._location;},getScale:function(){return this._scale;},getMean:function(){return Math.exp((this._location+this._scale)/2);},getVariance:function(){var ans=(Math.exp(this._scale)-1)*Math.exp(2*this._location+this._scale);return ans;}});var GammaDistribution=ContinuousDistribution.extend({init:function(shape,scale){this._super('Gamma');this._shape=parseFloat(shape);this._scale=parseFloat(scale);this._string="Gamma ("+this._shape.toFixed(2)+", "+this._scale.toFixed(2)+")";},_pdf:function(x,give_log){var pr;var shape=this._shape;var scale=this._scale;if(give_log==null){give_log=false;}
+if(shape<0||scale<=0){throw"Illegal argument in _pdf";}
+if(x<0){return(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(shape==0){return(x==0)?Number.POSITIVE_INFINITY:(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(x==0){if(shape<1)return Number.POSITIVE_INFINITY;if(shape>1)return(give_log)?Number.NEGATIVE_INFINITY:0.0;return(give_log)?-Math.log(scale):1/scale;}
+if(shape<1){pr=jstat.dopois_raw(shape,x/scale,give_log);return give_log?pr+Math.log(shape/x):pr*shape/x;}
+pr=jstat.dopois_raw(shape-1,x/scale,give_log);return give_log?pr-Math.log(scale):pr/scale;},_cdf:function(x,lower_tail,log_p){function USE_PNORM(){pn1=Math.sqrt(alph)*3.0*(Math.pow(x/alph,1.0/3.0)+1.0/(9.0*alph)-1.0);var norm_dist=new NormalDistribution(0.0,1.0);return norm_dist._cdf(pn1,lower_tail,log_p);}
+if(lower_tail==null)lower_tail=true;if(log_p==null)log_p=false;var alph=this._shape;var scale=this._scale;var xbig=1.0e+8;var xlarge=1.0e+37;var alphlimit=1e5;var pn1,pn2,pn3,pn4,pn5,pn6,arg,a,b,c,an,osum,sum,n,pearson;if(alph<=0.||scale<=0.){console.warn('Invalid gamma params in _cdf');return Number.NaN;}
+x/=scale;if(isNaN(x))return x;if(x<=0.0){if(lower_tail){return(log_p)?Number.NEGATIVE_INFINITY:0.0;}else{return(log_p)?0.0:1.0;}}
+if(alph>alphlimit){return USE_PNORM();}
+if(x>xbig*alph){if(x>jstat.DBL_MAX*alph){if(lower_tail){return(log_p)?0.0:1.0;}else{return(log_p)?Number.NEGATIVE_INFINITY:0.0;}}else{return USE_PNORM();}}
+if(x<=1.0||xjstat.DBL_EPSILON*sum);}else{pearson=0;arg=alph*Math.log(x)-x-jstat.lgamma(alph);a=1.-alph;b=a+x+1.;pn1=1.;pn2=x;pn3=x+1.;pn4=x*b;sum=pn3/pn4;for(n=1;;n++){a+=1.;b+=2.;an=a*n;pn5=b*pn3-an*pn1;pn6=b*pn4-an*pn2;if(Math.abs(pn6)>0.){osum=sum;sum=pn5/pn6;if(Math.abs(osum-sum)<=jstat.DBL_EPSILON*jstat.fmin2(1.0,sum))
+break;}
+pn1=pn3;pn2=pn4;pn3=pn5;pn4=pn6;if(Math.abs(pn5)>=xlarge){pn1/=xlarge;pn2/=xlarge;pn3/=xlarge;pn4/=xlarge;}}}
+arg+=Math.log(sum);lower_tail=(lower_tail==pearson);if(log_p&&lower_tail)
+return(arg);if(lower_tail){return Math.exp(arg);}else{if(log_p){return(arg>-Math.LN2)?Math.log(-jstat.expm1(arg)):jstat.log1p(-Math.exp(arg));}else{return-jstat.expm1(arg);}}},getShape:function(){return this._shape;},getScale:function(){return this._scale;},getMean:function(){return this._shape*this._scale;},getVariance:function(){return this._shape*Math.pow(this._scale,2);}});var BetaDistribution=ContinuousDistribution.extend({init:function(alpha,beta){this._super('Beta');this._alpha=parseFloat(alpha);this._beta=parseFloat(beta);this._string="Beta ("+this._alpha.toFixed(2)+", "+this._beta.toFixed(2)+")";},_pdf:function(x,give_log){if(give_log==null)give_log=false;var a=this._alpha;var b=this._beta;var lval;if(a<=0||b<=0){console.warn('Illegal arguments in _pdf');return Number.NaN;}
+if(x<0||x>1){return(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(x==0){if(a>1){return(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(a<1){return Number.POSITIVE_INFINITY;}
+return(give_log)?Math.log(b):b;}
+if(x==1){if(b>1){return(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(b<1){return Number.POSITIVE_INFINITY;}
+return(give_log)?Math.log(a):a;}
+if(a<=2||b<=2){lval=(a-1)*Math.log(x)+(b-1)*jstat.log1p(-x)-jstat.logBeta(a,b);}else{lval=Math.log(a+b-1)+jstat.dbinom_raw(a-1,a+b-2,x,1-x,true);}
+return(give_log)?lval:Math.exp(lval);},_cdf:function(x,lower_tail,log_p){if(lower_tail==null)lower_tail=true;if(log_p==null)log_p=false;var pin=this._alpha;var qin=this._beta;if(pin<=0||qin<=0){console.warn('Invalid argument in _cdf');return Number.NaN;}
+if(x<=0){if(lower_tail){return(log_p)?Number.NEGATIVE_INFINITY:0.0;}else{return(log_p)?0.1:1.0;}}
+if(x>=1){if(lower_tail){return(log_p)?0.1:1.0;}else{return(log_p)?Number.NEGATIVE_INFINITY:0.0;}}
+return jstat.incompleteBeta(pin,qin,x);},getAlpha:function(){return this._alpha;},getBeta:function(){return this._beta;},getMean:function(){return this._alpha/(this._alpha+this._beta);},getVariance:function(){var ans=(this._alpha*this._beta)/(Math.pow(this._alpha+this._beta,2)*(this._alpha+this._beta+1));return ans;}});var StudentTDistribution=ContinuousDistribution.extend({init:function(degreesOfFreedom,mu){this._super('StudentT');this._dof=parseFloat(degreesOfFreedom);if(mu!=null){this._mu=parseFloat(mu);this._string="StudentT ("+this._dof.toFixed(2)+", "+this._mu.toFixed(2)+")";}else{this._mu=0.0;this._string="StudentT ("+this._dof.toFixed(2)+")";}},_pdf:function(x,give_log){if(give_log==null)give_log=false;if(this._mu==null){return this._dt(x,give_log);}else{var y=this._dnt(x,give_log);if(y>1){console.warn('x:'+x+', y: '+y);}
+return y;}},_cdf:function(x,lower_tail,give_log){if(lower_tail==null)lower_tail=true;if(give_log==null)give_log=false;if(this._mu==null){return this._pt(x,lower_tail,give_log);}else{return this._pnt(x,lower_tail,give_log);}},_dt:function(x,give_log){var t,u;var n=this._dof;if(n<=0){console.warn('Invalid parameters in _dt');return Number.NaN;}
+if(!jstat.isFinite(x)){return(give_log)?Number.NEGATIVE_INFINITY:0.0;}
+if(!jstat.isFinite(n)){var norm=new NormalDistribution(0.0,1.0);return norm.density(x,give_log);}
+t=-jstat.bd0(n/2.0,(n+1)/2.0)+jstat.stirlerr((n+1)/2.0)-jstat.stirlerr(n/2.0);if(x*x>0.2*n)
+u=Math.log(1+x*x/n)*n/2;else
+u=-jstat.bd0(n/2.0,(n+x*x)/2.0)+x*x/2.0;var p1=jstat.TWO_PI*(1+x*x/n);var p2=t-u;return(give_log)?-0.5*Math.log(p1)+p2:Math.exp(p2)/Math.sqrt(p1);},_dnt:function(x,give_log){if(give_log==null)give_log=false;var df=this._dof;var ncp=this._mu;var u;if(df<=0.0){console.warn("Illegal arguments _dnf");return Number.NaN;}
+if(ncp==0.0){return this._dt(x,give_log);}
+if(!jstat.isFinite(x)){if(give_log){return Number.NEGATIVE_INFINITY;}else{return 0.0;}}
+if(!isFinite(df)||df>1e8){var dist=new NormalDistribution(ncp,1.);return dist.density(x,give_log);}
+if(Math.abs(x)>Math.sqrt(df*jstat.DBL_EPSILON)){var newT=new StudentTDistribution(df+2,ncp);u=Math.log(df)-Math.log(Math.abs(x))+
+Math.log(Math.abs(newT._pnt(x*Math.sqrt((df+2)/df),true,false)-
+this._pnt(x,true,false)));}
+else{u=jstat.lgamma((df+1)/2)-jstat.lgamma(df/2)
+-.5*(Math.log(Math.PI)+Math.log(df)+ncp*ncp);}
+return(give_log?u:Math.exp(u));},_pt:function(x,lower_tail,log_p){if(lower_tail==null)lower_tail=true;if(log_p==null)log_p=false;var val,nx;var n=this._dof;var DT_0,DT_1;if(lower_tail){if(log_p){DT_0=Number.NEGATIVE_INFINITY;DT_1=1.;}else{DT_0=0.;DT_1=1.;}}else{if(log_p){DT_0=0.;DT_1=Number.NEGATIVE_INFINITY;}else{DT_0=1.;DT_1=0.;}}
+if(n<=0.0){console.warn("Invalid T distribution _pt");return Number.NaN;}
+var norm=new NormalDistribution(0,1);if(!jstat.isFinite(x)){return(x<0)?DT_0:DT_1;}
+if(!jstat.isFinite(n)){return norm._cdf(x,lower_tail,log_p);}
+if(n>4e5){val=1./(4.*n);return norm._cdf(x*(1.-val)/sqrt(1.+x*x*2.*val),lower_tail,log_p);}
+nx=1+(x/n)*x;if(nx>1e100){var lval;lval=-0.5*n*(2*Math.log(Math.abs(x))-Math.log(n))
+-jstat.logBeta(0.5*n,0.5)-Math.log(0.5*n);val=log_p?lval:Math.exp(lval);}else{if(n>x*x){var beta=new BetaDistribution(0.5,n/2.);return beta._cdf(x*x/(n+x*x),false,log_p);}else{beta=new BetaDistribution(n/2.,0.5);return beta._cdf(1./nx,true,log_p);}}
+if(x<=0.)
+lower_tail=!lower_tail;if(log_p){if(lower_tail)return jstat.log1p(-0.5*Math.exp(val));else return val-M_LN2;}
+else{val/=2.;if(lower_tail){return(0.5-val+0.5);}else{return val;}}},_pnt:function(t,lower_tail,log_p){var dof=this._dof;var ncp=this._mu;var DT_0,DT_1;if(lower_tail){if(log_p){DT_0=Number.NEGATIVE_INFINITY;DT_1=1.;}else{DT_0=0.;DT_1=1.;}}else{if(log_p){DT_0=0.;DT_1=Number.NEGATIVE_INFINITY;}else{DT_0=1.;DT_1=0.;}}
+var albeta,a,b,del,errbd,lambda,rxb,tt,x;var geven,godd,p,q,s,tnc,xeven,xodd;var it,negdel;var ITRMAX=1000;var ERRMAX=1.e-7;if(dof<=0.0){return Number.NaN;}else if(dof==0.0){return this._pt(t);}
+if(!jstat.isFinite(t)){return(t<0)?DT_0:DT_1;}
+if(t>=0.){negdel=false;tt=t;del=ncp;}else{if(ncp>=40&&(!log_p||!lower_tail)){return DT_0;}
+negdel=true;tt=-t;del=-ncp;}
+if(dof>4e5||del*del>2*Math.LN2*(-(jstat.DBL_MIN_EXP))){s=1./(4.*dof);var norm=new NormalDistribution(del,Math.sqrt(1.+tt*tt*2.*s));var result=norm._cdf(tt*(1.-s),lower_tail!=negdel,log_p);return result;}
+x=t*t;rxb=dof/(x+dof);x=x/(x+dof);if(x>0.){lambda=del*del;p=.5*Math.exp(-.5*lambda);if(p==0.){console.warn("underflow in _pnt");return DT_0;}
+q=jstat.SQRT_2dPI*p*del;s=.5-p;if(s<1e-7){s=-0.5*jstat.expm1(-0.5*lambda);}
+a=.5;b=.5*dof;rxb=Math.pow(rxb,b);albeta=jstat.LN_SQRT_PI+jstat.lgamma(b)-jstat.lgamma(.5+b);xodd=jstat.incompleteBeta(a,b,x);godd=2.*rxb*Math.exp(a*Math.log(x)-albeta);tnc=b*x;xeven=(tnc1)break;errbd=2.*s*(xodd-godd);if(Math.abs(errbd)1-1e-10&&lower_tail){console.warn("precision error _pnt");}
+var res=jstat.fmin2(tnc,1.);if(lower_tail){if(log_p){return Math.log(res);}else{return res;}}else{if(log_p){return jstat.log1p(-(res));}else{return(0.5-(res)+0.5);}}},getDegreesOfFreedom:function(){return this._dof;},getNonCentralityParameter:function(){return this._mu;},getMean:function(){if(this._dof>1){var ans=(1/2)*Math.log(this._dof/2)+jstat.lgamma((this._dof-1)/2)-jstat.lgamma(this._dof/2)
+return Math.exp(ans)*this._mu;}else{return Number.NaN;}},getVariance:function(){if(this._dof>2){var ans=this._dof*(1+this._mu*this._mu)/(this._dof-2)-(((this._mu*this._mu*this._dof)/2)*Math.pow(Math.exp(jstat.lgamma((this._dof-1)/2)-jstat.lgamma(this._dof/2)),2));return ans;}else{return Number.NaN;}}});var Plot=Class.extend({init:function(id,options){this._container='#'+String(id);this._plots=[];this._flotObj=null;this._locked=false;if(options!=null){this._options=options;}else{this._options={};}},getContainer:function(){return this._container;},getGraph:function(){return this._flotObj;},setData:function(data){this._plots=data;},clear:function(){this._plots=[];},showLegend:function(){this._options.legend={show:true}
+this.render();},hideLegend:function(){this._options.legend={show:false}
+this.render();},render:function(){this._flotObj=null;this._flotObj=$.plot($(this._container),this._plots,this._options);}});var DistributionPlot=Plot.extend({init:function(id,distribution,range,options){this._super(id,options);this._showPDF=true;this._showCDF=false;this._pdfValues=[];this._cdfValues=[];this._maxY=1;this._plotType='line';this._fill=false;this._distribution=distribution;if(range!=null&&Range.validate(range)){this._range=range;}else{this._range=this._distribution.getRange();}
+if(this._distribution!=null){this._maxY=this._generateValues();}else{this._options.xaxis={min:range.getMinimum(),max:range.getMaximum()}
+this._options.yaxis={max:1}}
+this.render();},setHover:function(bool){if(bool){if(this._options.grid==null){this._options.grid={hoverable:true,mouseActiveRadius:25}}else{this._options.grid.hoverable=true,this._options.grid.mouseActiveRadius=25}
+function showTooltip(x,y,contents,color){$(''+contents+'
').css({position:'absolute',display:'none',top:y+15,'font-size':'small',left:x+5,border:'1px solid '+color[1],color:color[2],padding:'5px','background-color':color[0],opacity:0.80}).appendTo("body").show();}
+var previousPoint=null;$(this._container).bind("plothover",function(event,pos,item){$("#x").text(pos.x.toFixed(2));$("#y").text(pos.y.toFixed(2));if(item){if(previousPoint!=item.datapoint){previousPoint=item.datapoint;$("#jstat_tooltip").remove();var x=jstat.toSigFig(item.datapoint[0],2),y=jstat.toSigFig(item.datapoint[1],2);var text=null;var color=item.series.color;if(item.series.label=='PDF'){text="P("+x+") = "+y;color=["#fee","#fdd","#C05F5F"];}else{text="F("+x+") = "+y;color=["#eef","#ddf","#4A4AC0"];}
+showTooltip(item.pageX,item.pageY,text,color);}}
+else{$("#jstat_tooltip").remove();previousPoint=null;}});$(this._container).bind("mouseleave",function(){if($('#jstat_tooltip').is(':visible')){$('#jstat_tooltip').remove();previousPoint=null;}});}else{if(this._options.grid==null){this._options.grid={hoverable:false}}else{this._options.grid.hoverable=false}
+$(this._container).unbind("plothover");}
+this.render();},setType:function(type){this._plotType=type;var lines={};var points={};if(this._plotType=='line'){lines.show=true;points.show=false;}else if(this._plotType=='points'){lines.show=false;points.show=true;}else if(this._plotType=='both'){lines.show=true;points.show=true;}
+if(this._options.series==null){this._options.series={lines:lines,points:points}}else{if(this._options.series.lines==null){this._options.series.lines=lines;}else{this._options.series.lines.show=lines.show;}
+if(this._options.series.points==null){this._options.series.points=points;}else{this._options.series.points.show=points.show;}}
+this.render();},setFill:function(bool){this._fill=bool;if(this._options.series==null){this._options.series={lines:{fill:bool}}}else{if(this._options.series.lines==null){this._options.series.lines={fill:bool}}else{this._options.series.lines.fill=bool;}}
+this.render();},clear:function(){this._super();this._distribution=null;this._pdfValues=[];this._cdfValues=[];this.render();},_generateValues:function(){this._cdfValues=[];this._pdfValues=[];var xs=this._range.getPoints();this._options.xaxis={min:xs[0],max:xs[xs.length-1]}
+var pdfs=this._distribution.density(this._range);var cdfs=this._distribution.cumulativeDensity(this._range);for(var i=0;i