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diff --git a/ARIMA_StateSpaceModels.jl b/ARIMA_StateSpaceModels.jl
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+using StateSpaceModels, CRRao, DataFrames
+
+# load the data
+data = DataFrame(x = [1.3, 2.5, 3.1, 4.7, 5.2, 6.8])
+
+# define the state space model
+ssm = SSModel(data.x, ARIMA(p=1, d=1, q=1))
+
+# perform Kalman filtering and smoothing
+kalman_result = kalman(ssm)
+
+# get estimated states and observations
+est_states = states(kalman_result)
+est_obs = observations(kalman_result)
+
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