Java does not support Python’s way of referencing functions and classes. To achieve this behaviour, you have to use two advanced techniques: generics and reflection. Explaining these concepts is beyond the scope of a SO answer. You should read a Java guide to learn about them.
Yet here is an example how this would look like, assuming that the given class has a no-argument constructor:
public <T extends Stock> void analyzeNewStock(Class<T> clazz) throws Exception {
  Stock s = clazz.newInstance();
  s.analyze();
}
Then call this function with analyzeNewStock(MyStock.class).
As this is a rather complicated and error-prone approach, you’d rather define an interface that creates Stock instances:
public interface StockProvider {
  Stock createStock(String value);
}
public class MyStockProvider implements StockProvider {
  private final String valueTwo;
  public MyStockProvider(String valueTwo) {
    this.valueTwo = valueTwo;
  }
  @Override
  public Stock createStock(String valueOne) {
    return new MyStock(valueOne, valueTwo);
  }
}
public class MyOtherClass {
  public void analyzeNewStock(StockProvider provider) {
    provider.createStock("Hi!").analyze();
  }
  public static void main(String[] args) {
    analyzeNewStock(new MyStockProvider("Hey!"));
  }
}