feat(tests): update tests to use GBM for random data generation; improve consistency and realism in Skew and Variance tests; refine validation logic in Beta tests

lib/statistics/beta/Beta.Validation.Tests.cs

@@ -93,7 +93,7 @@ public class BetaValidationTests : IDisposable
             double ql = qlBeta[i];
             
             // Skender might return null/0 for warmup.
-            if (sk != 0)
+            if (Math.Abs(sk) > 1e-10)
             {
                 Assert.Equal(sk, ql, ValidationHelper.DefaultTolerance);
             }

lib/statistics/skew/Skew.Tests.cs

@@ -176,11 +176,11 @@ public class SkewTests
     {
         // Run for > 1000 updates to trigger Resync
         var skew = new Skew(10);
-        var random = new Random(123);
+        var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123);
         
         for (int i = 0; i < 1100; i++)
         {
-            skew.Update(new TValue(DateTime.UtcNow, random.NextDouble() * 100));
+            skew.Update(new TValue(DateTime.UtcNow, gbm.Next().Close));
         }
         
         Assert.True(double.IsFinite(skew.Last.Value));

lib/statistics/variance/Variance.Tests.cs

@@ -154,11 +154,11 @@ public class VarianceTests
     {
         // Run for > 1000 updates to trigger Resync
         var variance = new Variance(10);
-        var random = new Random(123);
+        var gbm = new GBM(startPrice: 100, mu: 0.05, sigma: 0.2, seed: 123);
         
         for (int i = 0; i < 1100; i++)
         {
-            variance.Update(new TValue(DateTime.UtcNow, random.NextDouble() * 100));
+            variance.Update(new TValue(DateTime.UtcNow, gbm.Next().Close));
         }
         
         Assert.True(double.IsFinite(variance.Last.Value));