s => s
.Size(0)
.Aggregations(a => a
    .DateHistogram("projects_started_per_month", dh => dh
        .Field(p => p.StartedOn)
        .Interval(DateInterval.Month)
        .Aggregations(aa => aa
            .Sum("commits", sm => sm
                .Field(p => p.NumberOfCommits)
            )
            .MovingAverage("commits_moving_avg", mv => mv
                .BucketsPath("commits")
                .Window(30)
                .Predict(10)
                .Model(m => m
                    .Simple()
                )
            )
        )
    )
)

new SearchRequest<Project>()
{
    Size = 0,
    Aggregations = new DateHistogramAggregation("projects_started_per_month")
    {
        Field = "startedOn",
        Interval = DateInterval.Month,
        Aggregations =
            new SumAggregation("commits", "numberOfCommits") &&
            new MovingAverageAggregation("commits_moving_avg", "commits")
            {
                Window = 30,
                Predict = 10,
                Model = new SimpleModel()
            }
    }
}

{
  "size": 0,
  "aggs": {
    "projects_started_per_month": {
      "date_histogram": {
        "field": "startedOn",
        "interval": "month"
      },
      "aggs": {
        "commits": {
          "sum": {
            "field": "numberOfCommits"
          }
        },
        "commits_moving_avg": {
          "moving_avg": {
            "buckets_path": "commits",
            "model": "simple",
            "window": 30,
            "predict": 10,
            "settings": {}
          }
        }
      }
    }
  }
}

response.ShouldBeValid();
var projectsPerMonth = response.Aggs.DateHistogram("projects_started_per_month");
projectsPerMonth.Should().NotBeNull();
projectsPerMonth.Buckets.Should().NotBeNull();
projectsPerMonth.Buckets.Count.Should().BeGreaterThan(0);

foreach(var item in projectsPerMonth.Buckets.Skip(1))
{
    var movingAvg = item.Sum("commits_moving_avg");
    movingAvg.Should().NotBeNull();
    movingAvg.Value.Should().BeGreaterThan(0);
}