diff --git a/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/samplers/MetropolisHastingsSampler.kt b/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/samplers/MetropolisHastingsSampler.kt
index 74dfa822f..d8ded96eb 100644
--- a/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/samplers/MetropolisHastingsSampler.kt
+++ b/kmath-stat/src/commonMain/kotlin/space/kscience/kmath/samplers/MetropolisHastingsSampler.kt
@@ -13,36 +13,38 @@ import space.kscience.kmath.structures.Float64Buffer
 import kotlin.math.*
 
 /**
- * [Metropolis–Hastings algorithm](https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm) for sampling
+ * [Metropolis–Hastings algorithm](https://en.wikipedia.org/wiki/Metropolis-Hastings_algorithm) for sampling
  * target distribution [targetDist].
  *
+ * The normal distribution is used as the proposal function.
+ *
  *      params:
  *          - targetDist: function close to the density of the sampled distribution;
- *          - initialState: initial value of the chain of sampled values.
+ *          - initialState: initial value of the chain of sampled values;
+ *          - proposalStd: standard deviation of the proposal function.
  */
 public class MetropolisHastingsSampler(
     public val targetDist: (arg : Double) -> Double,
     public val initialState : Double = 0.0,
+    public val proposalStd : Double = 1.0,
 ) : BlockingDoubleSampler {
     override fun sample(generator: RandomGenerator): BlockingDoubleChain = object : BlockingDoubleChain {
         var currentState = initialState
-        fun proposalDist(arg : Double) = NormalDistribution(arg, 0.01)
+        fun proposalDist(arg : Double) = NormalDistribution(arg, proposalStd)
 
         override fun nextBufferBlocking(size: Int): Float64Buffer {
             val acceptanceProb = generator.nextDoubleBuffer(size)
 
             return Float64Buffer(size) {index ->
-                val newState = proposalDist(currentState).sample(RandomGenerator.default(0)).nextBufferBlocking(5).get(4)
-                val firstComp = targetDist(newState) / targetDist(currentState)
-                val secondComp = proposalDist(newState).probability(currentState) / proposalDist(currentState).probability(newState)
-                val acceptanceRatio = min(1.0, firstComp * secondComp)
+                val newState = proposalDist(currentState).sample(generator).nextBufferBlocking(1).get(0)
+                val acceptanceRatio = min(1.0, targetDist(newState) / targetDist(currentState))
 
                 currentState = if (acceptanceProb[index] <= acceptanceRatio) newState else currentState
                 currentState
             }
         }
 
-        override suspend fun fork(): BlockingDoubleChain = BoxMullerSampler.sample(generator.fork())
+        override suspend fun fork(): BlockingDoubleChain = sample(generator.fork())
     }
 
 }
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diff --git a/kmath-stat/src/commonTest/kotlin/space/kscience/kmath/samplers/TestMetropolisHastingsSampler.kt b/kmath-stat/src/commonTest/kotlin/space/kscience/kmath/samplers/TestMetropolisHastingsSampler.kt
index 7bc1eb877..9ab44f87d 100644
--- a/kmath-stat/src/commonTest/kotlin/space/kscience/kmath/samplers/TestMetropolisHastingsSampler.kt
+++ b/kmath-stat/src/commonTest/kotlin/space/kscience/kmath/samplers/TestMetropolisHastingsSampler.kt
@@ -9,18 +9,68 @@ import space.kscience.kmath.operations.Float64Field
 import space.kscience.kmath.random.DefaultGenerator
 import space.kscience.kmath.stat.invoke
 import space.kscience.kmath.stat.mean
+import kotlin.math.exp
+import kotlin.math.pow
 import kotlin.test.Test
 import kotlin.test.assertEquals
 
 class TestMetropolisHastingsSampler {
 
     @Test
-    fun samplingNormalTest1() {
-        fun myDist(arg : Double) = NormalDistribution(0.0, 1.0).probability(arg)
-        val sampler = MetropolisHastingsSampler(::myDist)
+    fun samplingNormalTest() {
+        fun normalDist1(arg : Double) = NormalDistribution(0.5, 1.0).probability(arg)
+        var sampler = MetropolisHastingsSampler(::normalDist1, proposalStd = 1.0)
+        var sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(1_000_000)
 
+         assertEquals(0.5, Float64Field.mean(sampledValues), 1e-2)
 
-        val sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(10)
-        assertEquals(0.05, Float64Field.mean(sampledValues), 0.01)
+        fun normalDist2(arg : Double) = NormalDistribution(68.13, 1.0).probability(arg)
+        sampler = MetropolisHastingsSampler(::normalDist2, initialState = 63.0, proposalStd = 1.0)
+        sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(1_000_000)
+
+        assertEquals(68.13, Float64Field.mean(sampledValues), 1e-2)
+    }
+
+    @Test
+    fun samplingExponentialTest() {
+        fun expDist(arg : Double, param : Double) : Double {
+            if (arg < 0.0) { return 0.0 }
+            return param * exp(-param * arg)
+        }
+
+        fun expDist1(arg : Double) = expDist(arg, 0.5)
+        var sampler = MetropolisHastingsSampler(::expDist1, initialState = 2.0, proposalStd = 1.0)
+        var sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(1_000_000)
+
+        assertEquals(2.0, Float64Field.mean(sampledValues), 1e-2)
+
+        fun expDist2(arg : Double) = expDist(arg, 2.0)
+        sampler = MetropolisHastingsSampler(::expDist2, initialState = 9.0, proposalStd = 1.0)
+        sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(1_000_000)
+
+        assertEquals(0.5, Float64Field.mean(sampledValues), 1e-2)
+
+    }
+
+    @Test
+    fun samplingRayleighTest() {
+        fun rayleighDist(arg : Double, sigma : Double) : Double {
+            if (arg < 0.0) { return 0.0 }
+
+            val expArg = (arg / sigma).pow(2)
+            return arg * exp(-expArg / 2.0) / sigma.pow(2)
+        }
+
+        fun rayleighDist1(arg : Double) = rayleighDist(arg, 1.0)
+        var sampler = MetropolisHastingsSampler(::rayleighDist1, initialState = 2.0, proposalStd = 1.0)
+        var sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(1_000_000)
+
+        assertEquals(1.25, Float64Field.mean(sampledValues), 1e-2)
+
+        fun rayleighDist2(arg : Double) = rayleighDist(arg, 2.0)
+        sampler = MetropolisHastingsSampler(::rayleighDist2, proposalStd = 1.0)
+        sampledValues = sampler.sample(DefaultGenerator()).nextBufferBlocking(10_000_000)
+
+        assertEquals(2.5, Float64Field.mean(sampledValues), 1e-2)
     }
 }
\ No newline at end of file