//Verify CTMC: sequential probability ratio sampling test(SPRST) doesn't require to calculate fixed sample size: on the fly
public bool sequentialProbRatioTest(Simulation sml)
{
double p0 = theta + sigma;
double p1 = theta - sigma;
double a = alpha;
double b = beta;
if (p0 == 1 && p1 == 0)
{
// ssp.SSPAlgSpefic(paraStat.beta, paraStat.sigma, paraStat.alpha, paraStat.beta);
return singleSamplingTest(sml);
}
long m = 0;
double fm = 0;
double bound1 = Math.Log((b / (1 - a)));
double bound2 = Math.Log((1 - b) / a);
while (fm > bound1 && fm < bound2)
{
m++;
long dm;
if (sml.getsingleTrial())
{
dm = 1;
sprtcount++;
}
else
{
dm = 0;
}
fm += dm * Math.Log(p1 / p0) + (1 - dm) * Math.Log((1 - p1) / (1 - p0));
}
sprttotal = m;
return fm <= bound1 ? true : false;
//if false, that means fm>=bound2(notice while loop)
}
//Verify DTMC: SPRT
public bool verifyMDPSPRT(Simulation sml, Policy policy, out string report)
{
report = null;
policy.reSetPlan();
while (policy.hasPolicy())
{
reSetRunTest();
report += policy.reportAdversary(policy.updatePolicy());
bool result = sequentialProbRatioTest(sml);
// following two statements only used for
string st = result ? "Hypothesis Accepted!" : "Hypothesis Rejected!";
report += "\nSeqential Ration Plan Result:\n" + sprtcount + "/" + sprttotal + "\n" + st;
if (!result) return false;
}
return true;
}
//Verify DTMC: SSP
public bool verifyMDPSSP(Simulation sml, Policy policy, out string report)
{
report = null;
policy.reSetPlan();
while (policy.hasPolicy())
{
reSetRunTest();
report += policy.reportAdversary(policy.updatePolicy());
bool result = singleSamplingTest(sml);
string st = result ? "Hypothesis Accepted!" : "Hypothesis Rejected!";
report += "\nSingle Sampling Plan Result:\n" + sprtcount + "/" + sprttotal + "\n" + st;
if (!result) return false;
}
return true;
}
//Verify CTMC: sequential single sampling(SSP) testrequires to calculate fixed sample size
public bool singleSamplingTest(Simulation sml)
{
//ssp.SSPAlgSpefic(paraStat.theta, paraStat.sigma, paraStat.alpha, paraStat.beta);
sml.trials = ssp.minSmpSize;
long m = 0, dm = 0;
while (dm <= ssp.minTruthSize && (dm + ssp.minSmpSize - m) > ssp.minTruthSize)
{
m++;
if (sml.getsingleTrial())
{
dm++;
}
}
sprttotal = m;
sprtcount = dm;
return dm > ssp.minTruthSize ? true : false;
}